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115137640 = 2353737717
BaseRepresentation
bin1101101110011…
…01110001101000
322000122121011001
412313031301220
5213433401030
615231444344
72565440152
oct667156150
9260577131
10115137640
1159aa0682
12326866b4
131ab139a7
1411411ad2
15a194cca
hex6dcdc68

115137640 has 32 divisors (see below), whose sum is σ = 259787880. Its totient is φ = 45925632.

The previous prime is 115137611. The next prime is 115137641. The reversal of 115137640 is 46731511.

It can be written as a sum of positive squares in 4 ways, for example, as 93663684 + 21473956 = 9678^2 + 4634^2 .

It is a super-2 number, since 2×1151376402 = 26513352289539200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115137599 and 115137608.

It is not an unprimeable number, because it can be changed into a prime (115137641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11062 + ... + 18778.

Almost surely, 2115137640 is an apocalyptic number.

115137640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115137640 is an abundant number, since it is smaller than the sum of its proper divisors (144650240).

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

115137640 is a wasteful number, since it uses less digits than its factorization.

115137640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 115137640 is about 10730.2208737752. The cubic root of 115137640 is about 486.4883460868.

The spelling of 115137640 in words is "one hundred fifteen million, one hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 373 746 1492 1865 2984 3730 7460 7717 14920 15434 30868 38585 61736 77170 154340 308680 2878441 5756882 11513764 14392205 23027528 28784410 57568820 115137640