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12893790 = 2357134723
BaseRepresentation
bin110001001011…
…111001011110
3220021001221210
4301023321132
511300100130
61140205250
7214411140
oct61137136
926231853
1012893790
117307328
124399826
132895a80
1419d8c90
1511ea5b0
hexc4be5e

12893790 has 64 divisors (see below), whose sum is σ = 38094336. Its totient is φ = 2719872.

The previous prime is 12893767. The next prime is 12893791. The reversal of 12893790 is 9739821.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12893791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369 + ... + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (595224).

Almost surely, 212893790 is an apocalyptic number.

12893790 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 12893790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19047168).

12893790 is an abundant number, since it is smaller than the sum of its proper divisors (25200546).

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

12893790 is a wasteful number, since it uses less digits than its factorization.

12893790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 12893790 is about 3590.7923916595. The cubic root of 12893790 is about 234.4913701223.

The spelling of 12893790 in words is "twelve million, eight hundred ninety-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 4723 9446 14169 23615 28338 33061 47230 61399 66122 70845 99183 122798 141690 165305 184197 198366 306995 330610 368394 429793 495915 613990 859586 920985 991830 1289379 1841970 2148965 2578758 4297930 6446895 12893790