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13272597 = 3213176673
BaseRepresentation
bin110010101000…
…011000010101
3220222022120200
4302220120111
511344210342
61152251113
7220546422
oct62503025
926868520
1013272597
117545998
124540a99
132999310
141a96d49
15127294c
hexca8615

13272597 has 24 divisors (see below), whose sum is σ = 21864024. Its totient is φ = 7686144.

The previous prime is 13272577. The next prime is 13272617. The reversal of 13272597 is 79527231.

It is an interprime number because it is at equal distance from previous prime (13272577) and next prime (13272617).

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 13242321 = 174^2 + 3639^2 .

It is not a de Polignac number, because 13272597 - 28 = 13272341 is a prime.

It is a super-2 number, since 2×132725972 = 352323662248818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13272577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1348 + ... + 5325.

It is an arithmetic number, because the mean of its divisors is an integer number (911001).

Almost surely, 213272597 is an apocalyptic number.

13272597 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13272597 is a deficient number, since it is larger than the sum of its proper divisors (8591427).

13272597 is a wasteful number, since it uses less digits than its factorization.

13272597 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6706 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 13272597 is about 3643.1575590413. The cubic root of 13272597 is about 236.7656177730.

The spelling of 13272597 in words is "thirteen million, two hundred seventy-two thousand, five hundred ninety-seven".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 6673 20019 60057 86749 113441 260247 340323 780741 1020969 1474733 4424199 13272597