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11913664 = 267229131
BaseRepresentation
bin101101011100…
…100111000000
3211102021110211
4231130213000
511022214124
61103203504
7203156500
oct55344700
924367424
1011913664
1167a7a04
123ba6594
132611909
141821a00
1510a4e94
hexb5c9c0

11913664 has 84 divisors (see below), whose sum is σ = 28666440. Its totient is φ = 4892160.

The previous prime is 11913661. The next prime is 11913677. The reversal of 11913664 is 46631911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11913661) 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 11 ways as a sum of consecutive naturals, for example, 90879 + ... + 91009.

Almost surely, 211913664 is an apocalyptic number.

11913664 is a gapful number since it is divisible by the number (14) 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 11913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333220).

11913664 is an abundant number, since it is smaller than the sum of its proper divisors (16752776).

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

11913664 is a wasteful number, since it uses less digits than its factorization.

11913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 11913664 is about 3451.6175917966. The cubic root of 11913664 is about 228.3924706374.

The spelling of 11913664 in words is "eleven million, nine hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 131 196 203 224 232 262 392 406 448 464 524 784 812 917 928 1048 1421 1568 1624 1834 1856 2096 2842 3136 3248 3668 3799 4192 5684 6419 6496 7336 7598 8384 11368 12838 12992 14672 15196 22736 25676 26593 29344 30392 45472 51352 53186 58688 60784 90944 102704 106372 121568 186151 205408 212744 243136 372302 410816 425488 744604 850976 1489208 1701952 2978416 5956832 11913664