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104459328 = 263361991
BaseRepresentation
bin1100011100111…
…10110001000000
321021120002021000
412032132301000
5203220144303
614210532000
72405614101
oct616366100
9237502230
10104459328
1153a67926
122ab97000
131884546c
14dc323a8
159285da3
hex639ec40

104459328 has 112 divisors (see below), whose sum is σ = 312440320. Its totient is φ = 34214400.

The previous prime is 104459309. The next prime is 104459357. The reversal of 104459328 is 823954401.

104459328 is a `hidden beast` number, since 1 + 0 + 44 + 593 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 104459292 and 104459301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104913 + ... + 105903.

Almost surely, 2104459328 is an apocalyptic number.

104459328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156220160).

104459328 is an abundant number, since it is smaller than the sum of its proper divisors (207980992).

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

104459328 is an equidigital number, since it uses as much as digits as its factorization.

104459328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 104459328 is about 10220.5346239813. The cubic root of 104459328 is about 470.9582501839.

The spelling of 104459328 in words is "one hundred four million, four hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 144 183 192 216 244 288 366 432 488 549 576 732 864 976 991 1098 1464 1647 1728 1952 1982 2196 2928 2973 3294 3904 3964 4392 5856 5946 6588 7928 8784 8919 11712 11892 13176 15856 17568 17838 23784 26352 26757 31712 35136 35676 47568 52704 53514 60451 63424 71352 95136 105408 107028 120902 142704 181353 190272 214056 241804 285408 362706 428112 483608 544059 570816 725412 856224 967216 1088118 1450824 1632177 1712448 1934432 2176236 2901648 3264354 3868864 4352472 5803296 6528708 8704944 11606592 13057416 17409888 26114832 34819776 52229664 104459328