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11484132 = 22311192241
BaseRepresentation
bin101011110011…
…101111100100
3210121110021020
4223303233210
510414443012
61050051140
7166420302
oct53635744
923543236
1011484132
116534220
123a19ab0
1324c125a
14174d272
15101ca8c
hexaf3be4

11484132 has 72 divisors (see below), whose sum is σ = 30979872. Its totient is φ = 3283200.

The previous prime is 11484119. The next prime is 11484169. The reversal of 11484132 is 23148411.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47532 + ... + 47772.

It is an arithmetic number, because the mean of its divisors is an integer number (430276).

Almost surely, 211484132 is an apocalyptic number.

11484132 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 11484132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15489936).

11484132 is an abundant number, since it is smaller than the sum of its proper divisors (19495740).

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

11484132 is a wasteful number, since it uses less digits than its factorization.

11484132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 276 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 11484132 is about 3388.8245749817. The cubic root of 11484132 is about 225.6140068513.

The spelling of 11484132 in words is "eleven million, four hundred eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 241 361 418 482 627 722 723 836 964 1083 1254 1444 1446 2166 2508 2651 2892 3971 4332 4579 5302 7942 7953 9158 10604 11913 13737 15884 15906 18316 23826 27474 31812 47652 50369 54948 87001 100738 151107 174002 201476 261003 302214 348004 522006 604428 957011 1044012 1914022 2871033 3828044 5742066 11484132