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10894976 = 27471811
BaseRepresentation
bin101001100011…
…111010000000
3202111112002122
4221203322000
510242114401
61025303412
7161414531
oct51437200
922445078
1010894976
116171614
123794b68
132346041
141638688
15e5321b
hexa63e80

10894976 has 32 divisors (see below), whose sum is σ = 22178880. Its totient is φ = 5328640.

The previous prime is 10894967. The next prime is 10894979. The reversal of 10894976 is 67949801.

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

It is not an unprimeable number, because it can be changed into a prime (10894979) 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, 5111 + ... + 6921.

It is an arithmetic number, because the mean of its divisors is an integer number (693090).

Almost surely, 210894976 is an apocalyptic number.

10894976 is a gapful number since it is divisible by the number (16) 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 10894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11089440).

10894976 is an abundant number, since it is smaller than the sum of its proper divisors (11283904).

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

10894976 is an equidigital number, since it uses as much as digits as its factorization.

10894976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 10894976 is about 3300.7538532887. The cubic root of 10894976 is about 221.6879526798.

The spelling of 10894976 in words is "ten million, eight hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 1811 3008 3622 6016 7244 14488 28976 57952 85117 115904 170234 231808 340468 680936 1361872 2723744 5447488 10894976