Search a number
-
+
135605460 = 22357692939
BaseRepresentation
bin10000001010100…
…10110011010100
3100110011110201110
420011102303110
5234203333320
621242255020
73234425124
oct1005226324
9313143643
10135605460
116a600431
12394b7470
132212c023
141401cc84
15bd895e0
hex8152cd4

135605460 has 48 divisors (see below), whose sum is σ = 380318400. Its totient is φ = 36102144.

The previous prime is 135605443. The next prime is 135605471. The reversal of 135605460 is 64506531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 44671 + ... + 47609.

It is an arithmetic number, because the mean of its divisors is an integer number (7923300).

Almost surely, 2135605460 is an apocalyptic number.

135605460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135605460 is an abundant number, since it is smaller than the sum of its proper divisors (244712940).

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

135605460 is a wasteful number, since it uses less digits than its factorization.

135605460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 135605460 is about 11644.9757406360. The cubic root of 135605460 is about 513.7585455686.

The spelling of 135605460 in words is "one hundred thirty-five million, six hundred five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 769 1538 2307 2939 3076 3845 4614 5878 7690 8817 9228 11535 11756 14695 15380 17634 23070 29390 35268 44085 46140 58780 88170 176340 2260091 4520182 6780273 9040364 11300455 13560546 22600910 27121092 33901365 45201820 67802730 135605460