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107482032 = 2433735543
BaseRepresentation
bin1100110100000…
…00101110110000
321111020122122000
412122000232300
5210003411112
614355414000
72443403460
oct632005660
9244218560
10107482032
1155741929
122bbb4300
1319363248
14103bbba0
1596817dc
hex6680bb0

107482032 has 80 divisors (see below), whose sum is σ = 352596480. Its totient is φ = 30708288.

The previous prime is 107482027. The next prime is 107482049. The reversal of 107482032 is 230284701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107481987 and 107482005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14748 + ... + 20795.

It is an arithmetic number, because the mean of its divisors is an integer number (4407456).

Almost surely, 2107482032 is an apocalyptic number.

107482032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107482032 is an abundant number, since it is smaller than the sum of its proper divisors (245114448).

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

107482032 is a wasteful number, since it uses less digits than its factorization.

107482032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35567 (or 35555 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107482032 is about 10367.3541465506. The cubic root of 107482032 is about 475.4577776997.

The spelling of 107482032 in words is "one hundred seven million, four hundred eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 35543 71086 106629 142172 213258 248801 284344 319887 426516 497602 568688 639774 746403 853032 959661 995204 1279548 1492806 1706064 1919322 1990408 2239209 2559096 2985612 3838644 3980816 4478418 5118192 5971224 6717627 7677288 8956836 11942448 13435254 15354576 17913672 26870508 35827344 53741016 107482032