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104027664 = 24313433877
BaseRepresentation
bin1100011001101…
…01011000010000
321020202011010110
412030311120100
5203112341124
614153401320
72402135436
oct614653020
9236664113
10104027664
11537a2584
122aa09240
1318723b40
14db5cd56
1591ed029
hex6335610

104027664 has 80 divisors (see below), whose sum is σ = 296217152. Its totient is φ = 31256064.

The previous prime is 104027663. The next prime is 104027681. The reversal of 104027664 is 466720401.

It is not an unprimeable number, because it can be changed into a prime (104027663) 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, 24894 + ... + 28770.

Almost surely, 2104027664 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 104027664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148108576).

104027664 is an abundant number, since it is smaller than the sum of its proper divisors (192189488).

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

104027664 is a wasteful number, since it uses less digits than its factorization.

104027664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 104027664 is about 10199.3952761916. The cubic root of 104027664 is about 470.3086308494.

The spelling of 104027664 in words is "one hundred four million, twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 3877 4472 6708 7754 8944 11631 13416 15508 23262 26832 31016 46524 50401 62032 93048 100802 151203 166711 186096 201604 302406 333422 403208 500133 604812 666844 806416 1000266 1209624 1333688 2000532 2167243 2419248 2667376 4001064 4334486 6501729 8002128 8668972 13003458 17337944 26006916 34675888 52013832 104027664