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13611424 = 2517131191
BaseRepresentation
bin110011111011…
…000110100000
3221121112100211
4303323012200
511441031144
61203423504
7223460311
oct63730640
927545324
1013611424
117757512
124684b94
132a875c8
141b44608
1512dd034
hexcfb1a0

13611424 has 48 divisors (see below), whose sum is σ = 28740096. Its totient is φ = 6323200.

The previous prime is 13611413. The next prime is 13611427. The reversal of 13611424 is 42411631.

13611424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13611395 and 13611404.

It is not an unprimeable number, because it can be changed into a prime (13611427) 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, 71169 + ... + 71359.

It is an arithmetic number, because the mean of its divisors is an integer number (598752).

Almost surely, 213611424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13611424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048).

13611424 is an abundant number, since it is smaller than the sum of its proper divisors (15128672).

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

13611424 is a wasteful number, since it uses less digits than its factorization.

13611424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 13611424 is about 3689.3663412570. The cubic root of 13611424 is about 238.7634547391.

The spelling of 13611424 in words is "thirteen million, six hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 131 136 191 262 272 382 524 544 764 1048 1528 2096 2227 3056 3247 4192 4454 6112 6494 8908 12988 17816 25021 25976 35632 50042 51952 71264 100084 103904 200168 400336 425357 800672 850714 1701428 3402856 6805712 13611424