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13270820 = 225663541
BaseRepresentation
bin110010100111…
…111100100100
3220222020010212
4302213330210
511344131240
61152234552
7220541303
oct62477444
926866125
1013270820
117544622
12453ba58
132998574
141a9643a
151272165
hexca7f24

13270820 has 12 divisors (see below), whose sum is σ = 27868764. Its totient is φ = 5308320.

The previous prime is 13270819. The next prime is 13270843. The reversal of 13270820 is 2807231.

It can be written as a sum of positive squares in 2 ways, for example, as 3297856 + 9972964 = 1816^2 + 3158^2 .

It is a super-2 number, since 2×132708202 = 352229326944800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 331751 + ... + 331790.

It is an arithmetic number, because the mean of its divisors is an integer number (2322397).

Almost surely, 213270820 is an apocalyptic number.

13270820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13270820 is an abundant number, since it is smaller than the sum of its proper divisors (14597944).

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

13270820 is a wasteful number, since it uses less digits than its factorization.

13270820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663550 (or 663548 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 13270820 is about 3642.9136690292. The cubic root of 13270820 is about 236.7550508563.

The spelling of 13270820 in words is "thirteen million, two hundred seventy thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 663541 1327082 2654164 3317705 6635410 13270820