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11172928 = 261321033
BaseRepresentation
bin101010100111…
…110001000000
3210000122101011
4222213301000
510330013203
61035250304
7163653064
oct52476100
923018334
1011172928
116341428
1238a9994
132412700
1416abaa4
15eaa76d
hexaa7c40

11172928 has 42 divisors (see below), whose sum is σ = 24031194. Its totient is φ = 5151744.

The previous prime is 11172911. The next prime is 11172929. The reversal of 11172928 is 82927111.

It can be written as a sum of positive squares in 3 ways, for example, as 984064 + 10188864 = 992^2 + 3192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11172928.

It is not an unprimeable number, because it can be changed into a prime (11172929) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10300 + ... + 11332.

Almost surely, 211172928 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 11172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015597).

11172928 is an abundant number, since it is smaller than the sum of its proper divisors (12858266).

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

11172928 is a wasteful number, since it uses less digits than its factorization.

11172928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1048 counting only the distinct ones).

The product of its digits is 2016, while the sum is 31.

The square root of 11172928 is about 3342.5930054375. The cubic root of 11172928 is about 223.5573742434.

It can be divided in two parts, 11172 and 928, that added together give a square (12100 = 1102).

The spelling of 11172928 in words is "eleven million, one hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1033 1352 2066 2704 4132 5408 8264 10816 13429 16528 26858 33056 53716 66112 107432 174577 214864 349154 429728 698308 859456 1396616 2793232 5586464 11172928