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13214052 = 22322315959
BaseRepresentation
bin110010011010…
…000101100100
3220212100021100
4302122011210
511340322202
61151120100
7220213635
oct62320544
926770240
1013214052
117505a05
124513030
132978787
141a7d88c
15126041c
hexc9a164

13214052 has 36 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 4212912.

The previous prime is 13214041. The next prime is 13214057. The reversal of 13214052 is 25041231.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×132140522 = 349222340517408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13214057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7152 + ... + 8807.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 213214052 is an apocalyptic number.

13214052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13214052 is an abundant number, since it is smaller than the sum of its proper divisors (21642588).

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

13214052 is a wasteful number, since it uses less digits than its factorization.

13214052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15992 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13214052 is about 3635.1137533783. The cubic root of 13214052 is about 236.4169828129.

Adding to 13214052 its reverse (25041231), we get a palindrome (38255283).

The spelling of 13214052 in words is "thirteen million, two hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 15959 31918 47877 63836 95754 143631 191508 287262 367057 574524 734114 1101171 1468228 2202342 3303513 4404684 6607026 13214052