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10804512 = 253241467
BaseRepresentation
bin101001001101…
…110100100000
3202022221000010
4221031310200
510231221022
61023324520
7160560015
oct51156440
922287003
1010804512
11610a654
123750740
132313b04
14161370c
15e3650c
hexa4dd20

10804512 has 48 divisors (see below), whose sum is σ = 28540512. Its totient is φ = 3578880.

The previous prime is 10804471. The next prime is 10804517. The reversal of 10804512 is 21540801.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10804517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22903 + ... + 23369.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 210804512 is an apocalyptic number.

10804512 is a gapful number since it is divisible by the number (12) 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 10804512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270256).

10804512 is an abundant number, since it is smaller than the sum of its proper divisors (17736000).

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

10804512 is a wasteful number, since it uses less digits than its factorization.

10804512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10804512 is about 3287.0217522858. The cubic root of 10804512 is about 221.0726677626.

The spelling of 10804512 in words is "ten million, eight hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 467 482 723 934 964 1401 1446 1868 1928 2802 2892 3736 3856 5604 5784 7472 7712 11208 11568 14944 22416 23136 44832 112547 225094 337641 450188 675282 900376 1350564 1800752 2701128 3601504 5402256 10804512