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13007070 = 2325433361
BaseRepresentation
bin110001100111…
…100011011110
3220110211100100
4301213203132
511312211240
61142441530
7215362326
oct61474336
926424310
1013007070
11738444a
1244332a6
1329054bb
141a28286
15121de30
hexc678de

13007070 has 48 divisors (see below), whose sum is σ = 34615152. Its totient is φ = 3386880.

The previous prime is 13007069. The next prime is 13007087. The reversal of 13007070 is 7070031.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2190 + ... + 5550.

It is an arithmetic number, because the mean of its divisors is an integer number (721149).

Almost surely, 213007070 is an apocalyptic number.

13007070 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 13007070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307576).

13007070 is an abundant number, since it is smaller than the sum of its proper divisors (21608082).

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

13007070 is a wasteful number, since it uses less digits than its factorization.

13007070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 13007070 is about 3606.5315747959. The cubic root of 13007070 is about 235.1760865247.

The spelling of 13007070 in words is "thirteen million, seven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3361 3870 6722 10083 16805 20166 30249 33610 50415 60498 100830 144523 151245 289046 302490 433569 722615 867138 1300707 1445230 2167845 2601414 4335690 6503535 13007070