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13057002 = 2327173599
BaseRepresentation
bin110001110011…
…101111101010
3220120100211200
4301303233222
511320311002
61143505030
7215661030
oct61635752
926510750
1013057002
117408a12
124458176
13292214a
141a3c550
15122db1c
hexc73bea

13057002 has 48 divisors (see below), whose sum is σ = 32572800. Its totient is φ = 3702816.

The previous prime is 13056973. The next prime is 13057007. The reversal of 13057002 is 20075031.

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 (13057007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21499 + ... + 22097.

It is an arithmetic number, because the mean of its divisors is an integer number (678600).

Almost surely, 213057002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13057002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286400).

13057002 is an abundant number, since it is smaller than the sum of its proper divisors (19515798).

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

13057002 is a wasteful number, since it uses less digits than its factorization.

13057002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 13057002 is about 3613.4473844239. The cubic root of 13057002 is about 235.4766363558.

The spelling of 13057002 in words is "thirteen million, fifty-seven thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 519 599 1038 1198 1211 1557 1797 2422 3114 3594 3633 4193 5391 7266 8386 10782 10899 12579 21798 25158 37737 75474 103627 207254 310881 621762 725389 932643 1450778 1865286 2176167 4352334 6528501 13057002