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13397540 = 225132272
BaseRepresentation
bin110011000110…
…111000100100
3221012122222012
4303012320210
511412210130
61155053352
7221606612
oct63067044
927178865
1013397540
117620852
1245a1258
132a11150
141aca6b2
151299995
hexcc6e24

13397540 has 36 divisors (see below), whose sum is σ = 30433116. Its totient is φ = 4924992.

The previous prime is 13397539. The next prime is 13397551. The reversal of 13397540 is 4579331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3297856 + 10099684 = 1816^2 + 3178^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13397497 and 13397506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58907 + ... + 59133.

Almost surely, 213397540 is an apocalyptic number.

13397540 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 13397540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216558).

13397540 is an abundant number, since it is smaller than the sum of its proper divisors (17035576).

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

13397540 is a wasteful number, since it uses less digits than its factorization.

13397540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 13397540 is about 3660.2650177275. The cubic root of 13397540 is about 237.5062380633.

The spelling of 13397540 in words is "thirteen million, three hundred ninety-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 227 260 454 908 1135 2270 2951 4540 5902 11804 14755 29510 51529 59020 103058 206116 257645 515290 669877 1030580 1339754 2679508 3349385 6698770 13397540