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13701090 = 2351319432
BaseRepresentation
bin110100010000…
…111111100010
3221210002100210
4310100333202
512001413330
61205354550
7224312604
oct64207742
927702323
1013701090
117808917
124708a56
132ab9370
141b69174
1513098b0
hexd10fe2

13701090 has 96 divisors (see below), whose sum is σ = 38162880. Its totient is φ = 3120768.

The previous prime is 13701089. The next prime is 13701097. The reversal of 13701090 is 9010731.

13701090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13701097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318609 + ... + 318651.

It is an arithmetic number, because the mean of its divisors is an integer number (397530).

Almost surely, 213701090 is an apocalyptic number.

13701090 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 13701090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19081440).

13701090 is an abundant number, since it is smaller than the sum of its proper divisors (24461790).

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

13701090 is a wasteful number, since it uses less digits than its factorization.

13701090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 13701090 is about 3701.4983452651. The cubic root of 13701090 is about 239.2865967783.

The spelling of 13701090 in words is "thirteen million, seven hundred one thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 43 57 65 78 86 95 114 129 130 190 195 215 247 258 285 390 430 494 559 570 645 741 817 1118 1235 1290 1482 1634 1677 1849 2451 2470 2795 3354 3698 3705 4085 4902 5547 5590 7410 8170 8385 9245 10621 11094 12255 16770 18490 21242 24037 24510 27735 31863 35131 48074 53105 55470 63726 70262 72111 105393 106210 120185 144222 159315 175655 210786 240370 318630 351310 360555 456703 526965 721110 913406 1053930 1370109 2283515 2740218 4567030 6850545 13701090