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253023696 = 24334353257
BaseRepresentation
bin11110001010011…
…01010111010000
3122122002221021000
433011031113100
51004233224241
641035102000
76161444262
oct1705152720
9578087230
10253023696
1111a9094a2
12708a1900
1340560a83
1425865b32
151732eeb6
hexf14d5d0

253023696 has 160 divisors (see below), whose sum is σ = 760129920. Its totient is φ = 80510976.

The previous prime is 253023677. The next prime is 253023737. The reversal of 253023696 is 696320352.

253023696 is a `hidden beast` number, since 2 + 530 + 2 + 36 + 96 = 666.

253023696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 253023696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984400 + ... + 984656.

It is an arithmetic number, because the mean of its divisors is an integer number (4750812).

Almost surely, 2253023696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253023696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380064960).

253023696 is an abundant number, since it is smaller than the sum of its proper divisors (507106224).

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

253023696 is a wasteful number, since it uses less digits than its factorization.

253023696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 253023696 is about 15906.7185805244. The cubic root of 253023696 is about 632.4900994664.

The spelling of 253023696 in words is "two hundred fifty-three million, twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 53 54 72 86 106 108 129 144 159 172 212 216 257 258 318 344 387 424 432 477 514 516 636 688 771 774 848 954 1028 1032 1161 1272 1431 1542 1548 1908 2056 2064 2279 2313 2322 2544 2862 3084 3096 3816 4112 4558 4626 4644 5724 6168 6192 6837 6939 7632 9116 9252 9288 11051 11448 12336 13621 13674 13878 18232 18504 18576 20511 22102 22896 27242 27348 27756 33153 36464 37008 40863 41022 44204 54484 54696 55512 61533 66306 81726 82044 88408 99459 108968 109392 111024 122589 123066 132612 163452 164088 176816 198918 217936 245178 246132 265224 298377 326904 328176 367767 397836 490356 492264 530448 585703 596754 653808 735534 795672 980712 984528 1171406 1193508 1471068 1591344 1757109 1961424 2342812 2387016 2942136 3514218 4685624 4774032 5271327 5884272 7028436 9371248 10542654 14056872 15813981 21085308 28113744 31627962 42170616 63255924 84341232 126511848 253023696