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10076904 = 2332173809
BaseRepresentation
bin100110011100…
…001011101000
3200221221220200
4212130023220
510034430104
6555552200
7151436505
oct46341350
920857820
1010076904
115762a22
12345b660
13211a886
1414a44ac
15d40b39
hex99c2e8

10076904 has 48 divisors (see below), whose sum is σ = 27483300. Its totient is φ = 3335424.

The previous prime is 10076887. The next prime is 10076909. The reversal of 10076904 is 40967001.

It can be written as a sum of positive squares in 2 ways, for example, as 8122500 + 1954404 = 2850^2 + 1398^2 .

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (10076909) 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 11 ways as a sum of consecutive naturals, for example, 12052 + ... + 12860.

Almost surely, 210076904 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 10076904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741650).

10076904 is an abundant number, since it is smaller than the sum of its proper divisors (17406396).

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

10076904 is a wasteful number, since it uses less digits than its factorization.

10076904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10076904 is about 3174.4139616628. The cubic root of 10076904 is about 215.9943414155.

The spelling of 10076904 in words is "ten million, seventy-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 809 1038 1384 1557 1618 2076 2427 3114 3236 4152 4854 6228 6472 7281 9708 12456 14562 19416 29124 58248 139957 279914 419871 559828 839742 1119656 1259613 1679484 2519226 3358968 5038452 10076904