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104132832 = 2537971361
BaseRepresentation
bin1100011010011…
…11000011100000
321020221111101120
412031033003200
5203124222312
614155532240
72403054156
oct615170340
9236844346
10104132832
11538645a1
122aa5a080
131875c97b
14db893d6
15921e28c
hex634f0e0

104132832 has 48 divisors (see below), whose sum is σ = 273892752. Its totient is φ = 34641920.

The previous prime is 104132827. The next prime is 104132839. The reversal of 104132832 is 238231401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104132839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75832 + ... + 77192.

It is an arithmetic number, because the mean of its divisors is an integer number (5706099).

Almost surely, 2104132832 is an apocalyptic number.

104132832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104132832 is an abundant number, since it is smaller than the sum of its proper divisors (169759920).

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

104132832 is a wasteful number, since it uses less digits than its factorization.

104132832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 104132832 is about 10204.5495735971. The cubic root of 104132832 is about 470.4670654993.

The spelling of 104132832 in words is "one hundred four million, one hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 797 1361 1594 2391 2722 3188 4083 4782 5444 6376 8166 9564 10888 12752 16332 19128 21776 25504 32664 38256 43552 65328 76512 130656 1084717 2169434 3254151 4338868 6508302 8677736 13016604 17355472 26033208 34710944 52066416 104132832