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104011632 = 24322924907
BaseRepresentation
bin1100011001100…
…01011101110000
321020201100010200
412030301131300
5203111333012
614153155200
72402040624
oct614613560
9236640120
10104011632
115379152a
122a9bbb00
131871975a
14db57184
1591e83dc
hex6331770

104011632 has 60 divisors (see below), whose sum is σ = 301137720. Its totient is φ = 33473664.

The previous prime is 104011619. The next prime is 104011657. The reversal of 104011632 is 236110401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8278 + ... + 16629.

It is an arithmetic number, because the mean of its divisors is an integer number (5018962).

Almost surely, 2104011632 is an apocalyptic number.

104011632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104011632 is an abundant number, since it is smaller than the sum of its proper divisors (197126088).

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

104011632 is a wasteful number, since it uses less digits than its factorization.

104011632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24950 (or 24941 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104011632 is about 10198.6093169608. The cubic root of 104011632 is about 470.2844694066.

The spelling of 104011632 in words is "one hundred four million, eleven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 24907 49814 74721 99628 149442 199256 224163 298884 398512 448326 597768 722303 896652 1195536 1444606 1793304 2166909 2889212 3586608 4333818 5778424 6500727 8667636 11556848 13001454 17335272 26002908 34670544 52005816 104011632