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104326632 = 23324159599
BaseRepresentation
bin1100011011111…
…10010111101000
321021022100020100
412031332113220
5203201423012
614204025400
72404522164
oct615762750
9237270210
10104326632
1153987163
122ab32260
13187c9c47
14dbd9ca4
15925b8dc
hex637e5e8

104326632 has 96 divisors (see below), whose sum is σ = 294840000. Its totient is φ = 33296640.

The previous prime is 104326627. The next prime is 104326639. The reversal of 104326632 is 236623401.

104326632 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 26 + 632 = 666.

It is a super-2 number, since 2×1043266322 = 21768092288926848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104326596 and 104326605.

It is not an unprimeable number, because it can be changed into a prime (104326639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173869 + ... + 174467.

It is an arithmetic number, because the mean of its divisors is an integer number (3071250).

Almost surely, 2104326632 is an apocalyptic number.

104326632 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 104326632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420000).

104326632 is an abundant number, since it is smaller than the sum of its proper divisors (190513368).

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

104326632 is a wasteful number, since it uses less digits than its factorization.

104326632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 104326632 is about 10214.0409241397. The cubic root of 104326632 is about 470.7587442828.

The spelling of 104326632 in words is "one hundred four million, three hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 59 72 82 118 123 164 177 236 246 328 354 369 472 492 531 599 708 738 984 1062 1198 1416 1476 1797 2124 2396 2419 2952 3594 4248 4792 4838 5391 7188 7257 9676 10782 14376 14514 19352 21564 21771 24559 29028 35341 43128 43542 49118 58056 70682 73677 87084 98236 106023 141364 147354 174168 196472 212046 221031 282728 294708 318069 424092 442062 589416 636138 848184 884124 1272276 1448981 1768248 2544552 2897962 4346943 5795924 8693886 11591848 13040829 17387772 26081658 34775544 52163316 104326632