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13496364 = 2232731093
BaseRepresentation
bin110011011111…
…000000101100
3221101200112100
4303133000230
511423340424
61201135100
7222501000
oct63370054
927350470
1013496364
117689022
12462a490
132a4711b
141b14700
1512b8dc9
hexcdf02c

13496364 has 72 divisors (see below), whose sum is σ = 39821600. Its totient is φ = 3852576.

The previous prime is 13496363. The next prime is 13496369. The reversal of 13496364 is 46369431.

13496364 is a `hidden beast` number, since 13 + 4 + 9 + 636 + 4 = 666.

13496364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13496363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11802 + ... + 12894.

Almost surely, 213496364 is an apocalyptic number.

13496364 is a gapful number since it is divisible by the number (14) 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 13496364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19910800).

13496364 is an abundant number, since it is smaller than the sum of its proper divisors (26325236).

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

13496364 is a wasteful number, since it uses less digits than its factorization.

13496364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1105 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 13496364 is about 3673.7397839259. The cubic root of 13496364 is about 238.0887788749.

The spelling of 13496364 in words is "thirteen million, four hundred ninety-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1093 1372 1764 2058 2186 3087 3279 4116 4372 6174 6558 7651 9837 12348 13116 15302 19674 22953 30604 39348 45906 53557 68859 91812 107114 137718 160671 214228 275436 321342 374899 482013 642684 749798 964026 1124697 1499596 1928052 2249394 3374091 4498788 6748182 13496364