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13487136 = 25313101107
BaseRepresentation
bin110011011100…
…110000100000
3221101012212120
4303130300200
511423042021
61201024240
7222432045
oct63346040
927335776
1013487136
1176820a3
124625080
132a42b70
141b111cc
1512b62c6
hexcdcc20

13487136 has 96 divisors (see below), whose sum is σ = 38864448. Its totient is φ = 4070400.

The previous prime is 13487119. The next prime is 13487141. The reversal of 13487136 is 63178431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13487097 and 13487106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125995 + ... + 126101.

It is an arithmetic number, because the mean of its divisors is an integer number (404838).

Almost surely, 213487136 is an apocalyptic number.

13487136 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 13487136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432224).

13487136 is an abundant number, since it is smaller than the sum of its proper divisors (25377312).

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

13487136 is a wasteful number, since it uses less digits than its factorization.

13487136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 13487136 is about 3672.4836282821. The cubic root of 13487136 is about 238.0345029187.

The spelling of 13487136 in words is "thirteen million, four hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 101 104 107 156 202 208 214 303 312 321 404 416 428 606 624 642 808 856 1212 1248 1284 1313 1391 1616 1712 2424 2568 2626 2782 3232 3424 3939 4173 4848 5136 5252 5564 7878 8346 9696 10272 10504 10807 11128 15756 16692 21008 21614 22256 31512 32421 33384 42016 43228 44512 63024 64842 66768 86456 126048 129684 133536 140491 172912 259368 280982 345824 421473 518736 561964 842946 1037472 1123928 1685892 2247856 3371784 4495712 6743568 13487136