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13290420 = 223511131549
BaseRepresentation
bin110010101100…
…101110110100
3221000020000210
4302230232310
511400243140
61152505420
7220652403
oct62545664
927006023
1013290420
117558320
12454b270
1329a4470
141a9d63a
151277d80
hexcacbb4

13290420 has 96 divisors (see below), whose sum is σ = 43747200. Its totient is φ = 2972160.

The previous prime is 13290401. The next prime is 13290421. The reversal of 13290420 is 2409231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13290421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7806 + ... + 9354.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 213290420 is an apocalyptic number.

13290420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13290420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873600).

13290420 is an abundant number, since it is smaller than the sum of its proper divisors (30456780).

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

13290420 is a wasteful number, since it uses less digits than its factorization.

13290420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13290420 is about 3645.6028308086. The cubic root of 13290420 is about 236.8715499714.

Adding to 13290420 its reverse (2409231), we get a palindrome (15699651).

The spelling of 13290420 in words is "thirteen million, two hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1549 1716 2145 2860 3098 4290 4647 6196 7745 8580 9294 15490 17039 18588 20137 23235 30980 34078 40274 46470 51117 60411 68156 80548 85195 92940 100685 102234 120822 170390 201370 204468 221507 241644 255585 302055 340780 402740 443014 511170 604110 664521 886028 1022340 1107535 1208220 1329042 2215070 2658084 3322605 4430140 6645210 13290420