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13807136 = 257531163
BaseRepresentation
bin110100101010…
…111000100000
3221222110211102
4310222320200
512013312021
61211533532
7225234020
oct64527040
927873742
1013807136
117880562
12475a2a8
132b25705
141b95a80
15132b00b
hexd2ae20

13807136 has 48 divisors (see below), whose sum is σ = 31679424. Its totient is φ = 5800704.

The previous prime is 13807109. The next prime is 13807141. The reversal of 13807136 is 63170831.

It is a junction number, because it is equal to n+sod(n) for n = 13807099 and 13807108.

It is a congruent number.

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, 11291 + ... + 12453.

It is an arithmetic number, because the mean of its divisors is an integer number (659988).

Almost surely, 213807136 is an apocalyptic number.

13807136 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 13807136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15839712).

13807136 is an abundant number, since it is smaller than the sum of its proper divisors (17872288).

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

13807136 is a wasteful number, since it uses less digits than its factorization.

13807136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 13807136 is about 3715.7954733812. The cubic root of 13807136 is about 239.9023676958.

Adding to 13807136 its reverse (63170831), we get a palindrome (76977967).

The spelling of 13807136 in words is "thirteen million, eight hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1163 1484 1696 2326 2968 4652 5936 8141 9304 11872 16282 18608 32564 37216 61639 65128 123278 130256 246556 260512 431473 493112 862946 986224 1725892 1972448 3451784 6903568 13807136