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120683904 = 2731128571
BaseRepresentation
bin1110011000101…
…11110110000000
322102002101012020
413030113312000
5221343341104
615550401440
72663540055
oct714276600
9272071166
10120683904
1162139670
1234500280
131c0062c3
141205702c
15a8dd2d9
hex7317d80

120683904 has 64 divisors (see below), whose sum is σ = 349721280. Its totient is φ = 36569600.

The previous prime is 120683903. The next prime is 120683917. The reversal of 120683904 is 409386021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120683903) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10062 + ... + 18509.

It is an arithmetic number, because the mean of its divisors is an integer number (5464395).

Almost surely, 2120683904 is an apocalyptic number.

It is an amenable number.

120683904 is an abundant number, since it is smaller than the sum of its proper divisors (229037376).

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

120683904 is a wasteful number, since it uses less digits than its factorization.

120683904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28599 (or 28587 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 120683904 is about 10985.6226041131. The cubic root of 120683904 is about 494.1776694326.

The spelling of 120683904 in words is "one hundred twenty million, six hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 28571 57142 85713 114284 171426 228568 314281 342852 457136 628562 685704 914272 942843 1257124 1371408 1828544 1885686 2514248 2742816 3657088 3771372 5028496 5485632 7542744 10056992 10971264 15085488 20113984 30170976 40227968 60341952 120683904