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13215136 = 251123413
BaseRepresentation
bin110010011010…
…010110100000
3220212101202111
4302122112200
511340341021
61151125104
7220220044
oct62322640
926771674
1013215136
117506800
124513794
13297910c
141a80024
1512608e1
hexc9a5a0

13215136 has 36 divisors (see below), whose sum is σ = 28605906. Its totient is φ = 6005120.

The previous prime is 13215121. The next prime is 13215151. The reversal of 13215136 is 63151231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13215121) and next prime (13215151).

It can be written as a sum of positive squares in only one way, i.e., 8179600 + 5035536 = 2860^2 + 2244^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2166 + ... + 5578.

Almost surely, 213215136 is an apocalyptic number.

13215136 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 13215136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302953).

13215136 is an abundant number, since it is smaller than the sum of its proper divisors (15390770).

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

13215136 is a wasteful number, since it uses less digits than its factorization.

13215136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3426 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 13215136 is about 3635.2628515693. The cubic root of 13215136 is about 236.4234473705.

Adding to 13215136 its reverse (63151231), we get a palindrome (76366367).

The spelling of 13215136 in words is "thirteen million, two hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3413 3872 6826 13652 27304 37543 54608 75086 109216 150172 300344 412973 600688 825946 1201376 1651892 3303784 6607568 13215136