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135024732 = 2234835021
BaseRepresentation
bin10000000110001…
…01000001011100
3100102001222010000
420003011001130
5234031242412
621222014300
73226456053
oct1003050134
9312058100
10135024732
116a244097
1239277390
1321c878bb
1413d0b39a
15bcc24dc
hex80c505c

135024732 has 60 divisors (see below), whose sum is σ = 357305256. Its totient is φ = 44457120.

The previous prime is 135024709. The next prime is 135024737. The reversal of 135024732 is 237420531.

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 = 135024696 and 135024705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135024737) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24382 + ... + 29402.

Almost surely, 2135024732 is an apocalyptic number.

135024732 is a gapful number since it is divisible by the number (12) 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 135024732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178652628).

135024732 is an abundant number, since it is smaller than the sum of its proper divisors (222280524).

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

135024732 is a wasteful number, since it uses less digits than its factorization.

135024732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 135024732 is about 11620.0142857055. The cubic root of 135024732 is about 513.0241088495.

The spelling of 135024732 in words is "one hundred thirty-five million, twenty-four thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 747 996 1494 2241 2988 4482 5021 6723 8964 10042 13446 15063 20084 26892 30126 45189 60252 90378 135567 180756 271134 406701 416743 542268 813402 833486 1250229 1626804 1666972 2500458 3750687 5000916 7501374 11252061 15002748 22504122 33756183 45008244 67512366 135024732