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10804896 = 253237517
BaseRepresentation
bin101001001101…
…111010100000
3202022221112100
4221031322200
510231224041
61023330400
7160561104
oct51157240
922287470
1010804896
11610a973
123750a00
13231403b
141613904
15e366b6
hexa4dea0

10804896 has 36 divisors (see below), whose sum is σ = 30727242. Its totient is φ = 3601536.

The previous prime is 10804883. The next prime is 10804903. The reversal of 10804896 is 69840801.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9217296 + 1587600 = 3036^2 + 1260^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10804896.

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 5 ways as a sum of consecutive naturals, for example, 18471 + ... + 19046.

Almost surely, 210804896 is an apocalyptic number.

10804896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10804896 is an abundant number, since it is smaller than the sum of its proper divisors (19922346).

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

10804896 is a wasteful number, since it uses less digits than its factorization.

10804896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37533 (or 37522 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10804896 is about 3287.0801633060. The cubic root of 10804896 is about 221.0752867579.

The spelling of 10804896 in words is "ten million, eight hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 37517 75034 112551 150068 225102 300136 337653 450204 600272 675306 900408 1200544 1350612 1800816 2701224 3601632 5402448 10804896