Search a number
-
+
135273960 = 23325375761
BaseRepresentation
bin10000001000000…
…01110111101000
3100102112121222200
420010001313220
5234112231320
621231220200
73231544503
oct1004016750
9312477880
10135273960
116a3a4368
1239377660
1322044183
1413d7413a
15bd21290
hex8101de8

135273960 has 48 divisors (see below), whose sum is σ = 439641540. Its totient is φ = 36072960.

The previous prime is 135273953. The next prime is 135273973. The reversal of 135273960 is 69372531.

It can be written as a sum of positive squares in 2 ways, for example, as 119639844 + 15634116 = 10938^2 + 3954^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187521 + ... + 188240.

Almost surely, 2135273960 is an apocalyptic number.

135273960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135273960 is an abundant number, since it is smaller than the sum of its proper divisors (304367580).

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

135273960 is a wasteful number, since it uses less digits than its factorization.

135273960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375778 (or 375771 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 135273960 is about 11630.7334248533. The cubic root of 135273960 is about 513.3395606523.

The spelling of 135273960 in words is "one hundred thirty-five million, two hundred seventy-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 375761 751522 1127283 1503044 1878805 2254566 3006088 3381849 3757610 4509132 5636415 6763698 7515220 9018264 11272830 13527396 15030440 16909245 22545660 27054792 33818490 45091320 67636980 135273960