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68404056 = 23371743557
BaseRepresentation
bin1000001001111…
…00001101011000
311202201021201120
410010330031120
5120002412211
610442045240
71460265510
oct404741530
9152637646
1068404056
1135680a86
121aaa9820
1311230296
149128840
156012d06
hex413c358

68404056 has 128 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 17934336.

The previous prime is 68404019. The next prime is 68404067. The reversal of 68404056 is 65040486.

It is a happy number.

68404056 is a nontrivial binomial coefficient, being equal to C(11697, 2).

It is a super-2 number, since 2×684040562 = 9358229754502272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 122530 + ... + 123086.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 268404056 is an apocalyptic number.

68404056 is the 11696-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68404056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

68404056 is an abundant number, since it is smaller than the sum of its proper divisors (143725224).

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

68404056 is a wasteful number, since it uses less digits than its factorization.

68404056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 68404056 is about 8270.6744585916. The cubic root of 68404056 is about 408.9723540275.

The spelling of 68404056 in words is "sixty-eight million, four hundred four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 43 51 56 68 84 86 102 119 129 136 168 172 204 238 258 301 344 357 408 476 516 557 602 714 731 903 952 1032 1114 1204 1428 1462 1671 1806 2193 2228 2408 2856 2924 3342 3612 3899 4386 4456 5117 5848 6684 7224 7798 8772 9469 10234 11697 13368 15351 15596 17544 18938 20468 23394 23951 28407 30702 31192 37876 40936 46788 47902 56814 61404 66283 71853 75752 93576 95804 113628 122808 132566 143706 167657 191608 198849 227256 265132 287412 335314 397698 407167 502971 530264 574824 670628 795396 814334 1005942 1221501 1341256 1590792 1628668 2011884 2443002 2850169 3257336 4023768 4886004 5700338 8550507 9772008 11400676 17101014 22801352 34202028 68404056