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107014976 = 263153939
BaseRepresentation
bin1100110000011…
…10101101000000
321110100220221122
412120032231000
5204343434401
614341411412
72436420005
oct630165500
9243326848
10107014976
1155452a32
122ba09b68
131922b793
14102d98ac
1595dd21b
hex660eb40

107014976 has 28 divisors (see below), whose sum is σ = 219212160. Its totient is φ = 51780480.

The previous prime is 107014939. The next prime is 107014979. The reversal of 107014976 is 679410701.

It is a super-2 number, since 2×1070149762 = 22904410176561152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107014979) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 24986 + ... + 28953.

Almost surely, 2107014976 is an apocalyptic number.

107014976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107014976 is an abundant number, since it is smaller than the sum of its proper divisors (112197184).

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

107014976 is an equidigital number, since it uses as much as digits as its factorization.

107014976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53982 (or 53972 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 107014976 is about 10344.8042997439. The cubic root of 107014976 is about 474.7680877138.

The spelling of 107014976 in words is "one hundred seven million, fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 53939 107878 215756 431512 863024 1672109 1726048 3344218 3452096 6688436 13376872 26753744 53507488 107014976