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10899216 = 243275689
BaseRepresentation
bin101001100100…
…111100010000
3202111201220200
4221210330100
510242233331
61025335200
7161433066
oct51447420
922451820
1010899216
116174819
123797500
132347c53
14163a036
15e545e6
hexa64f10

10899216 has 30 divisors (see below), whose sum is σ = 30503070. Its totient is φ = 3633024.

The previous prime is 10899209. The next prime is 10899221. The reversal of 10899216 is 61299801.

It can be written as a sum of positive squares in only one way, i.e., 10890000 + 9216 = 3300^2 + 96^2 .

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, 37701 + ... + 37988.

It is an arithmetic number, because the mean of its divisors is an integer number (1016769).

Almost surely, 210899216 is an apocalyptic number.

10899216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10899216 is an abundant number, since it is smaller than the sum of its proper divisors (19603854).

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

10899216 is a wasteful number, since it uses less digits than its factorization.

10899216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75703 (or 75694 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 10899216 is about 3301.3960683323. The cubic root of 10899216 is about 221.7167070650.

It can be divided in two parts, 1089 and 9216, that multiplied together give a square (10036224 = 31682).

The spelling of 10899216 in words is "ten million, eight hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 75689 151378 227067 302756 454134 605512 681201 908268 1211024 1362402 1816536 2724804 3633072 5449608 10899216