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13772704 = 251123557
BaseRepresentation
bin110100100010…
…011110100000
3221220201121011
4310202132200
512011211304
61211110304
7225031441
oct64423640
927821534
1013772704
117857700
124742394
132b12b3a
141b872c8
151320c04
hexd227a0

13772704 has 36 divisors (see below), whose sum is σ = 29812482. Its totient is φ = 6258560.

The previous prime is 13772683. The next prime is 13772729. The reversal of 13772704 is 40727731.

It can be written as a sum of positive squares in only one way, i.e., 13337104 + 435600 = 3652^2 + 660^2 .

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, 2094 + ... + 5650.

Almost surely, 213772704 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 13772704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14906241).

13772704 is an abundant number, since it is smaller than the sum of its proper divisors (16039778).

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

13772704 is a wasteful number, since it uses less digits than its factorization.

13772704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 13772704 is about 3711.1593875769. The cubic root of 13772704 is about 239.7027802184.

The spelling of 13772704 in words is "thirteen million, seven hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3557 3872 7114 14228 28456 39127 56912 78254 113824 156508 313016 430397 626032 860794 1252064 1721588 3443176 6886352 13772704