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13268820 = 2235281787
BaseRepresentation
bin110010100111…
…011101010100
3220222010101210
4302213131110
511344100240
61152221420
7220532415
oct62473524
926863353
1013268820
117543074
12453a870
132997696
141a9580c
151271780
hexca7754

13268820 has 48 divisors (see below), whose sum is σ = 37332288. Its totient is φ = 3521280.

The previous prime is 13268819. The next prime is 13268839. The reversal of 13268820 is 2886231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16467 + ... + 17253.

It is an arithmetic number, because the mean of its divisors is an integer number (777756).

Almost surely, 213268820 is an apocalyptic number.

13268820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13268820 is an abundant number, since it is smaller than the sum of its proper divisors (24063468).

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

13268820 is a wasteful number, since it uses less digits than its factorization.

13268820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13268820 is about 3642.6391531416. The cubic root of 13268820 is about 236.7431567435.

The spelling of 13268820 in words is "thirteen million, two hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 281 562 787 843 1124 1405 1574 1686 2361 2810 3148 3372 3935 4215 4722 5620 7870 8430 9444 11805 15740 16860 23610 47220 221147 442294 663441 884588 1105735 1326882 2211470 2653764 3317205 4422940 6634410 13268820