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13377252 = 2237712243
BaseRepresentation
bin110011000001…
…111011100100
3221011122010210
4303001323210
511411033002
61154415420
7221463510
oct63017344
927148123
1013377252
117607589
124591570
132a04b45
141ac3140
15129396c
hexcc1ee4

13377252 has 48 divisors (see below), whose sum is σ = 36191232. Its totient is φ = 3766560.

The previous prime is 13377251. The next prime is 13377289. The reversal of 13377252 is 25277331.

13377252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13377251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4843 + ... + 7085.

It is an arithmetic number, because the mean of its divisors is an integer number (753984).

Almost surely, 213377252 is an apocalyptic number.

13377252 is a gapful number since it is divisible by the number (12) 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 13377252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18095616).

13377252 is an abundant number, since it is smaller than the sum of its proper divisors (22813980).

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

13377252 is a wasteful number, since it uses less digits than its factorization.

13377252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2326 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 13377252 is about 3657.4925837245. The cubic root of 13377252 is about 237.3862916440.

The spelling of 13377252 in words is "thirteen million, three hundred seventy-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2243 2982 4486 5964 6729 8972 13458 15701 26916 31402 47103 62804 94206 159253 188412 318506 477759 637012 955518 1114771 1911036 2229542 3344313 4459084 6688626 13377252