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11979696 = 2431753277
BaseRepresentation
bin101101101100…
…101110110000
3211112122001110
4231230232300
511031322241
61104433320
7203553141
oct55545660
924478043
1011979696
116842583
124018840
1326359a1
14183bac8
1510b9816
hexb6cbb0

11979696 has 80 divisors (see below), whose sum is σ = 33506784. Its totient is φ = 3674112.

The previous prime is 11979659. The next prime is 11979719. The reversal of 11979696 is 69697911.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43110 + ... + 43386.

Almost surely, 211979696 is an apocalyptic number.

11979696 is a gapful number since it is divisible by the number (16) 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 11979696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753392).

11979696 is an abundant number, since it is smaller than the sum of its proper divisors (21527088).

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

11979696 is a wasteful number, since it uses less digits than its factorization.

11979696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its digits is 183708, while the sum is 48.

The square root of 11979696 is about 3461.1697444650. The cubic root of 11979696 is about 228.8136518498.

The spelling of 11979696 in words is "eleven million, nine hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 277 318 408 424 554 636 816 831 848 901 1108 1272 1662 1802 2216 2544 2703 3324 3604 4432 4709 5406 6648 7208 9418 10812 13296 14127 14416 14681 18836 21624 28254 29362 37672 43248 44043 56508 58724 75344 88086 113016 117448 176172 226032 234896 249577 352344 499154 704688 748731 998308 1497462 1996616 2994924 3993232 5989848 11979696