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13388292 = 2232371897
BaseRepresentation
bin110011000100…
…101000000100
3221012012021200
4303010220010
511411411132
61154542500
7221540631
oct63045004
927165250
1013388292
117614905
124597a30
132a09b88
141ac7188
151296d7c
hexcc4a04

13388292 has 18 divisors (see below), whose sum is σ = 33842718. Its totient is φ = 4462752.

The previous prime is 13388269. The next prime is 13388321. The reversal of 13388292 is 29288331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8433216 + 4955076 = 2904^2 + 2226^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×133882923 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 371897 = 13388292 / (1 + 3 + 3 + 8 + 8 + 2 + 9 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 185913 + ... + 185984.

It is an arithmetic number, because the mean of its divisors is an integer number (1880151).

Almost surely, 213388292 is an apocalyptic number.

13388292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13388292 is an abundant number, since it is smaller than the sum of its proper divisors (20454426).

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

13388292 is a wasteful number, since it uses less digits than its factorization.

13388292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371907 (or 371902 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13388292 is about 3659.0015031426. The cubic root of 13388292 is about 237.4515772009.

The spelling of 13388292 in words is "thirteen million, three hundred eighty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 371897 743794 1115691 1487588 2231382 3347073 4462764 6694146 13388292