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115408040 = 23511318461
BaseRepresentation
bin1101110000011…
…11110010101000
322001011100001212
412320033302220
5214021024130
615241332252
72600644406
oct670176250
9261140055
10115408040
115a165850
1232797088
131aba9aa7
1411482476
15a1e9e95
hex6e0fca8

115408040 has 64 divisors (see below), whose sum is σ = 292446720. Its totient is φ = 40608000.

The previous prime is 115408021. The next prime is 115408061. The reversal of 115408040 is 40804511.

It is a junction number, because it is equal to n+sod(n) for n = 115407997 and 115408015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9410 + ... + 17870.

It is an arithmetic number, because the mean of its divisors is an integer number (4569480).

Almost surely, 2115408040 is an apocalyptic number.

115408040 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 115408040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146223360).

115408040 is an abundant number, since it is smaller than the sum of its proper divisors (177038680).

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

115408040 is a wasteful number, since it uses less digits than its factorization.

115408040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8514 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 115408040 is about 10742.8134117651. The cubic root of 115408040 is about 486.8688865838.

The spelling of 115408040 in words is "one hundred fifteen million, four hundred eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 8461 13640 16922 33844 42305 67688 84610 93071 169220 186142 262291 338440 372284 465355 524582 744568 930710 1049164 1311455 1861420 2098328 2622910 2885201 3722840 5245820 5770402 10491640 11540804 14426005 23081608 28852010 57704020 115408040