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13056390 = 2385199
BaseRepresentation
bin110001110011…
…100110000110
3220120100000000
4301303212012
511320301030
61143502130
7215656164
oct61634606
926510000
1013056390
117408506
124457946
132921a99
141a3c234
15122d860
hexc73986

13056390 has 72 divisors (see below), whose sum is σ = 35427600. Its totient is φ = 3464208.

The previous prime is 13056367. The next prime is 13056397. The reversal of 13056390 is 9365031.

13056390 is a `hidden beast` number, since 13 + 0 + 563 + 90 = 666.

13056390 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13056397) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65511 + ... + 65709.

It is an arithmetic number, because the mean of its divisors is an integer number (492050).

Almost surely, 213056390 is an apocalyptic number.

13056390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13056390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713800).

13056390 is an abundant number, since it is smaller than the sum of its proper divisors (22371210).

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

13056390 is an frugal number, since it uses more digits than its factorization.

13056390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 13056390 is about 3613.3626997577. The cubic root of 13056390 is about 235.4729572583.

The spelling of 13056390 in words is "thirteen million, fifty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 199 243 270 398 405 486 597 729 810 995 1194 1215 1458 1791 1990 2187 2430 2985 3582 3645 4374 5373 5970 6561 7290 8955 10746 10935 13122 16119 17910 21870 26865 32238 32805 48357 53730 65610 80595 96714 145071 161190 241785 290142 435213 483570 725355 870426 1305639 1450710 2176065 2611278 4352130 6528195 13056390