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135068040 = 23335125063
BaseRepresentation
bin10000000110011…
…11100110001000
3100102011011112000
420003033212020
5234034134130
621222551000
73230026242
oct1003174610
9312134460
10135068040
116a273688
1239298460
1321ca1523
1413d1d092
15bcd0260
hex80cf988

135068040 has 64 divisors (see below), whose sum is σ = 450230400. Its totient is φ = 36017856.

The previous prime is 135068039. The next prime is 135068041. The reversal of 135068040 is 40860531.

It is an interprime number because it is at equal distance from previous prime (135068039) and next prime (135068041).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135067995 and 135068013.

It is not an unprimeable number, because it can be changed into a prime (135068041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61452 + ... + 63611.

It is an arithmetic number, because the mean of its divisors is an integer number (7034850).

Almost surely, 2135068040 is an apocalyptic number.

135068040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135068040 is an abundant number, since it is smaller than the sum of its proper divisors (315162360).

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

135068040 is a wasteful number, since it uses less digits than its factorization.

135068040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125083 (or 125073 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135068040 is about 11621.8776452000. The cubic root of 135068040 is about 513.0789523161.

The spelling of 135068040 in words is "one hundred thirty-five million, sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 125063 250126 375189 500252 625315 750378 1000504 1125567 1250630 1500756 1875945 2251134 2501260 3001512 3376701 3751890 4502268 5002520 5627835 6753402 7503780 9004536 11255670 13506804 15007560 16883505 22511340 27013608 33767010 45022680 67534020 135068040