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11656992 = 253313917
BaseRepresentation
bin101100011101…
…111100100000
3210221020101110
4230131330200
510441010432
61053503320
7201040254
oct54357440
923836343
1011656992
116642086
123aa1b40
132551b39
141796264
151053dcc
hexb1df20

11656992 has 48 divisors (see below), whose sum is σ = 31594752. Its totient is φ = 3759360.

The previous prime is 11656973. The next prime is 11657011. The reversal of 11656992 is 29965611.

11656992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11656973) and next prime (11657011).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11656992.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018 + ... + 4934.

It is an arithmetic number, because the mean of its divisors is an integer number (658224).

Almost surely, 211656992 is an apocalyptic number.

11656992 is a gapful number since it is divisible by the number (12) 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 11656992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797376).

11656992 is an abundant number, since it is smaller than the sum of its proper divisors (19937760).

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

11656992 is a wasteful number, since it uses less digits than its factorization.

11656992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3953 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 11656992 is about 3414.2337354083. The cubic root of 11656992 is about 226.7403605056.

The spelling of 11656992 in words is "eleven million, six hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 3917 7834 11751 15668 23502 31336 47004 62672 94008 121427 125344 188016 242854 364281 376032 485708 728562 971416 1457124 1942832 2914248 3885664 5828496 11656992