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104664288 = 253612293
BaseRepresentation
bin1100011110100…
…00110011100000
321021221111102010
412033100303200
5203243224123
614215152520
72410426461
oct617206340
9237844363
10104664288
1154097913
122b075740
13188b7841
14dc86d68
1592c6993
hex63d0ce0

104664288 has 72 divisors (see below), whose sum is σ = 280274904. Its totient is φ = 34199040.

The previous prime is 104664187. The next prime is 104664311. The reversal of 104664288 is 882466401.

It is a super-2 number, since 2×1046642882 = 21909226365093888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357070 + ... + 357362.

It is an arithmetic number, because the mean of its divisors is an integer number (3892707).

Almost surely, 2104664288 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 104664288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140137452).

104664288 is an abundant number, since it is smaller than the sum of its proper divisors (175610616).

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

104664288 is an equidigital number, since it uses as much as digits as its factorization.

104664288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 104664288 is about 10230.5565830995. The cubic root of 104664288 is about 471.2660718696.

The spelling of 104664288 in words is "one hundred four million, six hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 293 366 488 586 732 879 976 1172 1464 1758 1952 2344 2928 3516 3721 4688 5856 7032 7442 9376 11163 14064 14884 17873 22326 28128 29768 35746 44652 53619 59536 71492 89304 107238 119072 142984 178608 214476 285968 357216 428952 571936 857904 1090253 1715808 2180506 3270759 4361012 6541518 8722024 13083036 17444048 26166072 34888096 52332144 104664288