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10899072 = 27329461
BaseRepresentation
bin101001100100…
…111010000000
3202111201201100
4221210322000
510242232242
61025334400
7161432502
oct51447200
922451640
1010899072
1161746a8
123797400
132347b72
141639d72
15e5454c
hexa64e80

10899072 has 48 divisors (see below), whose sum is σ = 31366530. Its totient is φ = 3632640.

The previous prime is 10899061. The next prime is 10899089. The reversal of 10899072 is 27099801.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8156736 + 2742336 = 2856^2 + 1656^2 .

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

It is a super-2 number, since 2×108990722 = 237579540922368, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3579 + ... + 5882.

Almost surely, 210899072 is an apocalyptic number.

10899072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10899072 is an abundant number, since it is smaller than the sum of its proper divisors (20467458).

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

10899072 is an equidigital number, since it uses as much as digits as its factorization.

10899072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9481 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10899072 is about 3301.3742593048. The cubic root of 10899072 is about 221.7157306234.

Subtracting from 10899072 its product of nonzero digits (9072), we obtain a square (10890000 = 33002).

The spelling of 10899072 in words is "ten million, eight hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 9461 18922 28383 37844 56766 75688 85149 113532 151376 170298 227064 302752 340596 454128 605504 681192 908256 1211008 1362384 1816512 2724768 3633024 5449536 10899072