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15204042240 = 29357127883
BaseRepresentation
bin11100010100011101…
…10100011000000000
31110020121002101000120
432022032310120000
5222114213322430
610552403220240
71045525140522
oct161216643000
943217071016
1015204042240
1164a2315a72
122b43977680
131583bba1ca
14a43379a12
155debbb610
hex38a3b4600

15204042240 has 160 divisors (see below), whose sum is σ = 49291773696. Its totient is φ = 3997163520.

The previous prime is 15204042239. The next prime is 15204042241. The reversal of 15204042240 is 4224040251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (15204042239) and next prime (15204042241).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 15204042240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15204042241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531339 + ... + 559221.

Almost surely, 215204042240 is an apocalyptic number.

15204042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15204042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24645886848).

15204042240 is an abundant number, since it is smaller than the sum of its proper divisors (34087731456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15204042240 is an equidigital number, since it uses as much as digits as its factorization.

15204042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27980 (or 27964 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 15204042240 its reverse (4224040251), we get a palindrome (19428082491).

The spelling of 15204042240 in words is "fifteen billion, two hundred four million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 384 426 480 512 568 640 710 768 852 960 1065 1136 1280 1420 1536 1704 1920 2130 2272 2560 2840 3408 3840 4260 4544 5680 6816 7680 8520 9088 11360 13632 17040 18176 22720 27264 27883 34080 36352 45440 54528 55766 68160 83649 90880 109056 111532 136320 139415 167298 181760 223064 272640 278830 334596 418245 446128 545280 557660 669192 836490 892256 1115320 1338384 1672980 1784512 1979693 2230640 2676768 3345960 3569024 3959386 4461280 5353536 5939079 6691920 7138048 7918772 8922560 9898465 10707072 11878158 13383840 14276096 15837544 17845120 19796930 21414144 23756316 26767680 29695395 31675088 35690240 39593860 42828288 47512632 53535360 59390790 63350176 71380480 79187720 95025264 107070720 118781580 126700352 158375440 190050528 214141440 237563160 253400704 316750880 380101056 475126320 506801408 633501760 760202112 950252640 1013602816 1267003520 1520404224 1900505280 2534007040 3040808448 3801010560 5068014080 7602021120 15204042240