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13777056 = 253247837
BaseRepresentation
bin110100100011…
…100010100000
3221220221120100
4310203202200
512011331211
61211142400
7225050226
oct64434240
927827510
1013777056
11785a9a7
124744a00
132b14b07
141b88b16
151322156
hexd238a0

13777056 has 36 divisors (see below), whose sum is σ = 39179322. Its totient is φ = 4592256.

The previous prime is 13777039. The next prime is 13777067. The reversal of 13777056 is 65077731.

It can be written as a sum of positive squares in only one way, i.e., 12531600 + 1245456 = 3540^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13777056.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23631 + ... + 24206.

Almost surely, 213777056 is an apocalyptic number.

13777056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13777056 is an abundant number, since it is smaller than the sum of its proper divisors (25402266).

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

13777056 is a wasteful number, since it uses less digits than its factorization.

13777056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47853 (or 47842 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 13777056 is about 3711.7456809431. The cubic root of 13777056 is about 239.7280252403.

The spelling of 13777056 in words is "thirteen million, seven hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 47837 95674 143511 191348 287022 382696 430533 574044 765392 861066 1148088 1530784 1722132 2296176 3444264 4592352 6888528 13777056