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13214240 = 255136353
BaseRepresentation
bin110010011010…
…001000100000
3220212100112022
4302122020200
511340323430
61151121012
7220214324
oct62321040
926770468
1013214240
117506066
124513168
1329788a0
141a7d984
1512604e5
hexc9a220

13214240 has 48 divisors (see below), whose sum is σ = 33625368. Its totient is φ = 4878336.

The previous prime is 13214239. The next prime is 13214249. The reversal of 13214240 is 4241231.

It can be written as a sum of positive squares in 4 ways, for example, as 7997584 + 5216656 = 2828^2 + 2284^2 .

It is a super-2 number, since 2×132142402 = 349232277555200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13214249) 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, 1097 + ... + 5256.

Almost surely, 213214240 is an apocalyptic number.

13214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13214240 is an abundant number, since it is smaller than the sum of its proper divisors (20411128).

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

13214240 is a wasteful number, since it uses less digits than its factorization.

13214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 13214240 is about 3635.1396121745. The cubic root of 13214240 is about 236.4181039976.

Adding to 13214240 its reverse (4241231), we get a palindrome (17455471).

The spelling of 13214240 in words is "thirteen million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 6353 12706 25412 31765 50824 63530 82589 101648 127060 165178 203296 254120 330356 412945 508240 660712 825890 1016480 1321424 1651780 2642848 3303560 6607120 13214240