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10604880 = 243251113103
BaseRepresentation
bin101000011101…
…000101010000
3201221210011100
4220131011100
510203324010
61015144400
7156066006
oct50350520
921853140
1010604880
115a93670
123675100
132273ca0
1415a0a76
15de72c0
hexa1d150

10604880 has 240 divisors, whose sum is σ = 42247296. Its totient is φ = 2350080.

The previous prime is 10604873. The next prime is 10604917. The reversal of 10604880 is 8840601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106048802 = 224926959628800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102909 + ... + 103011.

Almost surely, 210604880 is an apocalyptic number.

10604880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10604880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123648).

10604880 is an abundant number, since it is smaller than the sum of its proper divisors (31642416).

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

10604880 is a wasteful number, since it uses less digits than its factorization.

10604880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10604880 is about 3256.5134730260. The cubic root of 10604880 is about 219.7026285305.

The spelling of 10604880 in words is "ten million, six hundred four thousand, eight hundred eighty".