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13330240 = 265711541
BaseRepresentation
bin110010110110…
…011101000000
3221002020122121
4302312131000
511403031430
61153414024
7221206450
oct62663500
927066577
1013330240
117585230
12456a314
1329b9621
141aadd60
151284a7a
hexcb6740

13330240 has 112 divisors (see below), whose sum is σ = 39648384. Its totient is φ = 4147200.

The previous prime is 13330231. The next prime is 13330241. The reversal of 13330240 is 4203331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330241) 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, 24370 + ... + 24910.

Almost surely, 213330240 is an apocalyptic number.

13330240 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 13330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19824192).

13330240 is an abundant number, since it is smaller than the sum of its proper divisors (26318144).

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

13330240 is a wasteful number, since it uses less digits than its factorization.

13330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 13330240 is about 3651.0601200199. The cubic root of 13330240 is about 237.1078811200.

Adding to 13330240 its reverse (4203331), we get a palindrome (17533571).

The spelling of 13330240 in words is "thirteen million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 541 560 616 704 770 880 1082 1120 1232 1540 1760 2164 2240 2464 2705 3080 3520 3787 4328 4928 5410 5951 6160 7574 8656 10820 11902 12320 15148 17312 18935 21640 23804 24640 29755 30296 34624 37870 41657 43280 47608 59510 60592 75740 83314 86560 95216 119020 121184 151480 166628 173120 190432 208285 238040 242368 302960 333256 380864 416570 476080 605920 666512 833140 952160 1211840 1333024 1666280 1904320 2666048 3332560 6665120 13330240