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13757696 = 2861881
BaseRepresentation
bin110100011110…
…110100000000
3221212222000022
4310132310000
512010221241
61210513012
7224636621
oct64366400
927788008
1013757696
1178473a7
124735768
132b09064
141b81a48
15131b54b
hexd1ed00

13757696 has 36 divisors (see below), whose sum is σ = 27943524. Its totient is φ = 6758400.

The previous prime is 13757683. The next prime is 13757717. The reversal of 13757696 is 69675731.

It can be written as a sum of positive squares in 2 ways, for example, as 1254400 + 12503296 = 1120^2 + 3536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15176 + ... + 16056.

It is an arithmetic number, because the mean of its divisors is an integer number (776209).

Almost surely, 213757696 is an apocalyptic number.

13757696 is a gapful number since it is divisible by the number (16) 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 13757696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971762).

13757696 is an abundant number, since it is smaller than the sum of its proper divisors (14185828).

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

13757696 is an frugal number, since it uses more digits than its factorization.

13757696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 944 counting only the distinct ones).

The product of its digits is 238140, while the sum is 44.

The square root of 13757696 is about 3709.1368268102. The cubic root of 13757696 is about 239.6156812042.

The spelling of 13757696 in words is "thirteen million, seven hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 881 976 1762 1952 3524 3904 7048 7808 14096 15616 28192 53741 56384 107482 112768 214964 225536 429928 859856 1719712 3439424 6878848 13757696