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104054832 = 24327214747
BaseRepresentation
bin1100011001111…
…00000000110000
321020210112101200
412030330000300
5203114223312
614154131200
72402310600
oct614740060
9236715350
10104054832
1153810a32
122aa20b00
131873330b
14db68c00
1592060dc
hex633c030

104054832 has 90 divisors (see below), whose sum is σ = 338776308. Its totient is φ = 29727936.

The previous prime is 104054759. The next prime is 104054833. The reversal of 104054832 is 238450401.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 104054796 and 104054805.

It is not an unprimeable number, because it can be changed into a prime (104054833) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 318 + ... + 14429.

Almost surely, 2104054832 is an apocalyptic number.

104054832 is a gapful number since it is divisible by the number (12) 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 104054832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169388154).

104054832 is an abundant number, since it is smaller than the sum of its proper divisors (234721476).

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

104054832 is a wasteful number, since it uses less digits than its factorization.

104054832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14775 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 104054832 is about 10200.7270329129. The cubic root of 104054832 is about 470.3495694236.

The spelling of 104054832 in words is "one hundred four million, fifty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 14747 29494 44241 58988 88482 103229 117976 132723 176964 206458 235952 265446 309687 353928 412916 530892 619374 707856 722603 825832 929061 1061784 1238748 1445206 1651664 1858122 2123568 2167809 2477496 2890412 3716244 4335618 4954992 5780824 6503427 7432488 8671236 11561648 13006854 14864976 17342472 26013708 34684944 52027416 104054832