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1213520640 = 2835714451
BaseRepresentation
bin100100001010100…
…1101101100000000
310010120110020100220
41020111031230000
54441130130030
6320225543040
742033520023
oct11025155400
93116406326
101213520640
11573001022
1229a4a4a80
13164549667
14b724d1ba
157180ba10
hex4854db00

1213520640 has 144 divisors (see below), whose sum is σ = 3931151616. Its totient is φ = 318976000.

The previous prime is 1213520629. The next prime is 1213520647. The reversal of 1213520640 is 460253121.

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 1213520640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213520647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270415 + ... + 274865.

It is an arithmetic number, because the mean of its divisors is an integer number (27299664).

Almost surely, 21213520640 is an apocalyptic number.

1213520640 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 1213520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965575808).

1213520640 is an abundant number, since it is smaller than the sum of its proper divisors (2717630976).

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

1213520640 is an equidigital number, since it uses as much as digits as its factorization.

1213520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1213520640 is about 34835.6231464287. The cubic root of 1213520640 is about 1066.6347351552.

Adding to 1213520640 its reverse (460253121), we get a palindrome (1673773761).

The spelling of 1213520640 in words is "one billion, two hundred thirteen million, five hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 384 426 480 568 640 710 768 852 960 1065 1136 1280 1420 1704 1920 2130 2272 2840 3408 3840 4260 4451 4544 5680 6816 8520 8902 9088 11360 13353 13632 17040 17804 18176 22255 22720 26706 27264 34080 35608 44510 45440 53412 54528 66765 68160 71216 89020 90880 106824 133530 136320 142432 178040 213648 267060 272640 284864 316021 356080 427296 534120 569728 632042 712160 854592 948063 1068240 1139456 1264084 1424320 1580105 1709184 1896126 2136480 2528168 2848640 3160210 3418368 3792252 4272960 4740315 5056336 5697280 6320420 7584504 8545920 9480630 10112672 12640840 15169008 17091840 18961260 20225344 25281680 30338016 37922520 40450688 50563360 60676032 75845040 80901376 101126720 121352064 151690080 202253440 242704128 303380160 404506880 606760320 1213520640