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13557320 = 235726917
BaseRepresentation
bin110011101101…
…111001001000
3221111210010222
4303231321020
511432313240
61202325212
7223143500
oct63557110
927453128
1013557320
11771a8a7
124659808
132a68aaa
141b2ca00
1512cbeb5
hexcede48

13557320 has 48 divisors (see below), whose sum is σ = 35489340. Its totient is φ = 4647552.

The previous prime is 13557319. The next prime is 13557337. The reversal of 13557320 is 2375531.

It can be written as a sum of positive squares in 2 ways, for example, as 13557124 + 196 = 3682^2 + 14^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13557320.

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 11 ways as a sum of consecutive naturals, for example, 1499 + ... + 5418.

Almost surely, 213557320 is an apocalyptic number.

13557320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13557320 is an abundant number, since it is smaller than the sum of its proper divisors (21932020).

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

13557320 is a wasteful number, since it uses less digits than its factorization.

13557320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6931 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 13557320 is about 3682.0266158734. The cubic root of 13557320 is about 238.4466813231.

The spelling of 13557320 in words is "thirteen million, five hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 6917 13834 27668 34585 48419 55336 69170 96838 138340 193676 242095 276680 338933 387352 484190 677866 968380 1355732 1694665 1936760 2711464 3389330 6778660 13557320