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11995968 = 263431453
BaseRepresentation
bin101101110000…
…101101000000
3211120110101010
4231300231000
511032332333
61105040520
7203651445
oct55605500
924513333
1011995968
116853826
124026140
13264020a
1418439cc
1510be563
hexb70b40

11995968 has 56 divisors (see below), whose sum is σ = 32499808. Its totient is φ = 3902976.

The previous prime is 11995961. The next prime is 11995981. The reversal of 11995968 is 86959911.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11995961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7530 + ... + 8982.

Almost surely, 211995968 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 11995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249904).

11995968 is an abundant number, since it is smaller than the sum of its proper divisors (20503840).

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

11995968 is a wasteful number, since it uses less digits than its factorization.

11995968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1501 counting only the distinct ones).

The product of its digits is 174960, while the sum is 48.

The square root of 11995968 is about 3463.5195971728. The cubic root of 11995968 is about 228.9172040392.

The spelling of 11995968 in words is "eleven million, nine hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 1453 2064 2752 2906 4128 4359 5812 8256 8718 11624 17436 23248 34872 46496 62479 69744 92992 124958 139488 187437 249916 278976 374874 499832 749748 999664 1499496 1999328 2998992 3998656 5997984 11995968