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23076576 = 253429307
BaseRepresentation
bin101100000000…
…1111011100000
31121102102010000
41120001323200
521401422301
62142340000
7400101435
oct130017340
947372100
1023076576
1112031856
12788a600
134a1c8a3
1430c9b8c
15205c786
hex1601ee0

23076576 has 120 divisors (see below), whose sum is σ = 70436520. Its totient is φ = 7402752.

The previous prime is 23076569. The next prime is 23076587. The reversal of 23076576 is 67567032.

It is a happy number.

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 23076576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75015 + ... + 75321.

It is an arithmetic number, because the mean of its divisors is an integer number (586971).

Almost surely, 223076576 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 23076576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35218260).

23076576 is an abundant number, since it is smaller than the sum of its proper divisors (47359944).

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

23076576 is a wasteful number, since it uses less digits than its factorization.

23076576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 23076576 is about 4803.8084891053. The cubic root of 23076576 is about 284.7019598999.

The spelling of 23076576 in words is "twenty-three million, seventy-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 307 324 348 432 464 522 614 648 696 783 864 921 928 1044 1228 1296 1392 1566 1842 2088 2349 2456 2592 2763 2784 3132 3684 4176 4698 4912 5526 6264 7368 8289 8352 8903 9396 9824 11052 12528 14736 16578 17806 18792 22104 24867 25056 26709 29472 33156 35612 37584 44208 49734 53418 66312 71224 75168 80127 88416 99468 106836 132624 142448 160254 198936 213672 240381 265248 284896 320508 397872 427344 480762 641016 721143 795744 854688 961524 1282032 1442286 1923048 2564064 2884572 3846096 5769144 7692192 11538288 23076576