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135124024 = 23717141937
BaseRepresentation
bin10000000110111…
…01010000111000
3100102021000022111
420003131100320
5234042432044
621224102104
73230351410
oct1003352070
9312230274
10135124024
116a301752
1239304934
1321cc0b59
1413d35640
15bce1b34
hex80dd438

135124024 has 32 divisors (see below), whose sum is σ = 306586080. Its totient is φ = 54503424.

The previous prime is 135124019. The next prime is 135124039. The reversal of 135124024 is 420421531.

It is a junction number, because it is equal to n+sod(n) for n = 135123986 and 135124004.

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 7 ways as a sum of consecutive naturals, for example, 70017 + ... + 71920.

It is an arithmetic number, because the mean of its divisors is an integer number (9580815).

Almost surely, 2135124024 is an apocalyptic number.

135124024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135124024 is an abundant number, since it is smaller than the sum of its proper divisors (171462056).

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

135124024 is a wasteful number, since it uses less digits than its factorization.

135124024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141967 (or 141963 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 135124024 is about 11624.2859565652. The cubic root of 135124024 is about 513.1498307770.

Adding to 135124024 its reverse (420421531), we get a palindrome (555545555).

The spelling of 135124024 in words is "one hundred thirty-five million, one hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 141937 283874 567748 993559 1135496 1987118 2412929 3974236 4825858 7948472 9651716 16890503 19303432 33781006 67562012 135124024