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11864132 = 2271929769
BaseRepresentation
bin101101010000…
…100001000100
3211022202112022
4231100201010
511014123012
61102142312
7202562210
oct55204104
924282468
1011864132
116773775
123b81998
1325c51c7
14180b940
151095472
hexb50844

11864132 has 48 divisors (see below), whose sum is σ = 25872000. Its totient is φ = 4644864.

The previous prime is 11864131. The next prime is 11864183. The reversal of 11864132 is 23146811.

It is a super-2 number, since 2×118641322 = 281515256226848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11864131) 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, 15044 + ... + 15812.

It is an arithmetic number, because the mean of its divisors is an integer number (539000).

Almost surely, 211864132 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 11864132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936000).

11864132 is an abundant number, since it is smaller than the sum of its proper divisors (14007868).

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

11864132 is a wasteful number, since it uses less digits than its factorization.

11864132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 826 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 11864132 is about 3444.4349318865. The cubic root of 11864132 is about 228.0755110512.

The spelling of 11864132 in words is "eleven million, eight hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 406 532 551 769 812 1102 1538 2204 3076 3857 5383 7714 10766 14611 15428 21532 22301 29222 44602 58444 89204 102277 156107 204554 312214 409108 423719 624428 847438 1694876 2966033 5932066 11864132