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11996832 = 253177351
BaseRepresentation
bin101101110000…
…111010100000
3211120111120010
4231300322200
511032344312
61105044520
7203654121
oct55607240
924514503
1011996832
116854441
124026740
132640723
141844048
1510be93c
hexb70ea0

11996832 has 48 divisors (see below), whose sum is σ = 33348672. Its totient is φ = 3763200.

The previous prime is 11996821. The next prime is 11996833. The reversal of 11996832 is 23869911.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11996833) 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, 2044 + ... + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (694764).

Almost surely, 211996832 is an apocalyptic number.

11996832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11996832 is an abundant number, since it is smaller than the sum of its proper divisors (21351840).

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

11996832 is a wasteful number, since it uses less digits than its factorization.

11996832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7373 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 11996832 is about 3463.6443235413. The cubic root of 11996832 is about 228.9226997668.

The spelling of 11996832 in words is "eleven million, nine hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 7351 14702 22053 29404 44106 58808 88212 117616 124967 176424 235232 249934 352848 374901 499868 705696 749802 999736 1499604 1999472 2999208 3998944 5998416 11996832