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10378016 = 251129483
BaseRepresentation
bin100111100101…
…101100100000
3201112020221222
4213211230200
510124044031
61010234212
7154132415
oct47455440
921466858
1010378016
115949180
123585968
1321c494c
14154210c
15d9ee7b
hex9e5b20

10378016 has 24 divisors (see below), whose sum is σ = 22289904. Its totient is φ = 4717120.

The previous prime is 10377967. The next prime is 10378021. The reversal of 10378016 is 61087301.

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 3 ways as a sum of consecutive naturals, for example, 14390 + ... + 15093.

It is an arithmetic number, because the mean of its divisors is an integer number (928746).

Almost surely, 210378016 is an apocalyptic number.

10378016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10378016 is an abundant number, since it is smaller than the sum of its proper divisors (11911888).

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

10378016 is a wasteful number, since it uses less digits than its factorization.

10378016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29504 (or 29496 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 10378016 is about 3221.4928216589. The cubic root of 10378016 is about 218.1246656700.

The spelling of 10378016 in words is "ten million, three hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 29483 58966 117932 235864 324313 471728 648626 943456 1297252 2594504 5189008 10378016