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107904 = 273281
BaseRepresentation
bin11010010110000000
312111000110
4122112000
511423104
62151320
7626406
oct322600
9174013
10107904
1174085
1252540
133a164
142b476
1521e89
hex1a580

107904 has 32 divisors (see below), whose sum is σ = 287640. Its totient is φ = 35840.

The previous prime is 107903. The next prime is 107923. The reversal of 107904 is 409701.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 244 + ... + 524.

2107904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143820).

107904 is an abundant number, since it is smaller than the sum of its proper divisors (179736).

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

107904 is an equidigital number, since it uses as much as digits as its factorization.

107904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 107904 is about 328.4874426824. The cubic root of 107904 is about 47.6079171446.

The spelling of 107904 in words is "one hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 281 384 562 843 1124 1686 2248 3372 4496 6744 8992 13488 17984 26976 35968 53952 107904