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11528412 = 2237711933
BaseRepresentation
bin101011111110…
…100011011100
3210200201000020
4223332203130
510422402122
61051032140
7166663350
oct53764334
923621006
1011528412
116564515
123a3b650
13250845c
141761460
15102ac5c
hexafe8dc

11528412 has 48 divisors (see below), whose sum is σ = 31191552. Its totient is φ = 3245760.

The previous prime is 11528411. The next prime is 11528417. The reversal of 11528412 is 21482511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11528411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4998 + ... + 6930.

It is an arithmetic number, because the mean of its divisors is an integer number (649824).

Almost surely, 211528412 is an apocalyptic number.

11528412 is a gapful number since it is divisible by the number (12) 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 11528412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595776).

11528412 is an abundant number, since it is smaller than the sum of its proper divisors (19663140).

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

11528412 is a wasteful number, since it uses less digits than its factorization.

11528412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2016 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 11528412 is about 3395.3515281926. The cubic root of 11528412 is about 225.9036057445.

The spelling of 11528412 in words is "eleven million, five hundred twenty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1933 1988 2982 3866 5799 5964 7732 11598 13531 23196 27062 40593 54124 81186 137243 162372 274486 411729 548972 823458 960701 1646916 1921402 2882103 3842804 5764206 11528412