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10909472 = 257113431
BaseRepresentation
bin101001100111…
…011100100000
3202112020222112
4221213130200
510243100342
61025454452
7161505020
oct51473440
922466875
1010909472
1161814a2
1237a1428
13234c812
14163da80
15e57682
hexa67720

10909472 has 48 divisors (see below), whose sum is σ = 24820992. Its totient is φ = 4623360.

The previous prime is 10909471. The next prime is 10909501. The reversal of 10909472 is 27490901.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10909471) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25097 + ... + 25527.

It is an arithmetic number, because the mean of its divisors is an integer number (517104).

Almost surely, 210909472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10909472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496).

10909472 is an abundant number, since it is smaller than the sum of its proper divisors (13911520).

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

10909472 is a wasteful number, since it uses less digits than its factorization.

10909472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 10909472 is about 3302.9489853766. The cubic root of 10909472 is about 221.7862293034.

The spelling of 10909472 in words is "ten million, nine hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 431 452 791 862 904 1582 1724 1808 3017 3164 3448 3616 6034 6328 6896 12068 12656 13792 24136 25312 48272 48703 96544 97406 194812 340921 389624 681842 779248 1363684 1558496 2727368 5454736 10909472