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13359136 = 257232593
BaseRepresentation
bin110010111101…
…100000100000
3221010201021211
4302331200200
511404443021
61154155504
7221356630
oct62754040
927121254
1013359136
1175a4a0a
124582b94
1329c981b
141aba6c0
15128d3e1
hexcbd820

13359136 has 48 divisors (see below), whose sum is σ = 31377024. Its totient is φ = 5474304.

The previous prime is 13359133. The next prime is 13359163. The reversal of 13359136 is 63195331.

It is a junction number, because it is equal to n+sod(n) for n = 13359098 and 13359107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13359133) 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, 3856 + ... + 6448.

It is an arithmetic number, because the mean of its divisors is an integer number (653688).

Almost surely, 213359136 is an apocalyptic number.

13359136 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 13359136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688512).

13359136 is an abundant number, since it is smaller than the sum of its proper divisors (18017888).

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

13359136 is a wasteful number, since it uses less digits than its factorization.

13359136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2625 counting only the distinct ones).

The product of its digits is 7290, while the sum is 31.

The square root of 13359136 is about 3655.0151846470. The cubic root of 13359136 is about 237.2790839550.

The spelling of 13359136 in words is "thirteen million, three hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 2593 5152 5186 10372 18151 20744 36302 41488 59639 72604 82976 119278 145208 238556 290416 417473 477112 580832 834946 954224 1669892 1908448 3339784 6679568 13359136