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13911136 = 252341461
BaseRepresentation
bin110101000100…
…010001100000
3222011202111021
4311010101200
512030124021
61214055224
7226146151
oct65042140
928152437
1013911136
117941708
1247aa514
132b60b55
141bc1928
15134bc41
hexd44460

13911136 has 48 divisors (see below), whose sum is σ = 29338848. Its totient is φ = 6476800.

The previous prime is 13911133. The next prime is 13911137. The reversal of 13911136 is 63111931.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13911136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13911133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29946 + ... + 30406.

It is an arithmetic number, because the mean of its divisors is an integer number (611226).

Almost surely, 213911136 is an apocalyptic number.

13911136 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 13911136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669424).

13911136 is an abundant number, since it is smaller than the sum of its proper divisors (15427712).

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

13911136 is a wasteful number, since it uses less digits than its factorization.

13911136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its digits is 486, while the sum is 25.

The square root of 13911136 is about 3729.7635313784. The cubic root of 13911136 is about 240.5032034647.

The spelling of 13911136 in words is "thirteen million, nine hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 328 368 461 656 736 922 943 1312 1844 1886 3688 3772 7376 7544 10603 14752 15088 18901 21206 30176 37802 42412 75604 84824 151208 169648 302416 339296 434723 604832 869446 1738892 3477784 6955568 13911136