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11921664 = 28319243
BaseRepresentation
bin101101011110…
…100100000000
3211102200110010
4231132210000
511022443124
61103304520
7203222016
oct55364400
924380403
1011921664
116802a17
123bab140
132615451
1418248b6
1510a7529
hexb5e900

11921664 has 108 divisors (see below), whose sum is σ = 34265616. Its totient is φ = 3677184.

The previous prime is 11921633. The next prime is 11921669. The reversal of 11921664 is 46612911.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11921669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277227 + ... + 277269.

Almost surely, 211921664 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 11921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17132808).

11921664 is an abundant number, since it is smaller than the sum of its proper divisors (22343952).

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

11921664 is an equidigital number, since it uses as much as digits as its factorization.

11921664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 11921664 is about 3452.7762742466. The cubic root of 11921664 is about 228.4435808848.

The spelling of 11921664 in words is "eleven million, nine hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 96 114 128 129 152 172 192 228 256 258 304 344 361 384 456 516 608 688 722 768 817 912 1032 1083 1216 1376 1444 1634 1824 2064 2166 2432 2451 2752 2888 3268 3648 4128 4332 4864 4902 5504 5776 6536 7296 8256 8664 9804 11008 11552 13072 14592 15523 16512 17328 19608 23104 26144 31046 33024 34656 39216 46208 46569 52288 62092 69312 78432 92416 93138 104576 124184 138624 156864 186276 209152 248368 277248 313728 372552 496736 627456 745104 993472 1490208 1986944 2980416 3973888 5960832 11921664