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104146632 = 23326072383
BaseRepresentation
bin1100011010100…
…10011011001000
321020222012022200
412031102123020
5203130143012
614200120200
72403142332
oct615223310
9236865280
10104146632
11538739a7
122aa66060
1318766035
14db90452
1592233dc
hex63526c8

104146632 has 48 divisors (see below), whose sum is σ = 282647040. Its totient is φ = 34643808.

The previous prime is 104146621. The next prime is 104146633. The reversal of 104146632 is 236641401.

104146632 is a `hidden beast` number, since 10 + 4 + 14 + 6 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104146596 and 104146605.

It is not an unprimeable number, because it can be changed into a prime (104146633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42513 + ... + 44895.

It is an arithmetic number, because the mean of its divisors is an integer number (5888480).

Almost surely, 2104146632 is an apocalyptic number.

104146632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104146632 is an abundant number, since it is smaller than the sum of its proper divisors (178500408).

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

104146632 is a wasteful number, since it uses less digits than its factorization.

104146632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 104146632 is about 10205.2257201887. The cubic root of 104146632 is about 470.4878471573.

The spelling of 104146632 in words is "one hundred four million, one hundred forty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 607 1214 1821 2383 2428 3642 4766 4856 5463 7149 7284 9532 10926 14298 14568 19064 21447 21852 28596 42894 43704 57192 85788 171576 1446481 2892962 4339443 5785924 8678886 11571848 13018329 17357772 26036658 34715544 52073316 104146632