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135214584 = 23356310007
BaseRepresentation
bin10000000111100…
…11010111111000
3100102102121112120
420003303113320
5234103331314
621230041240
73231206421
oct1003632770
9312377476
10135214584
116a36379a
1239349220
132202313b
1413d5a648
15bd0d8a9
hex80f35f8

135214584 has 32 divisors (see below), whose sum is σ = 338670720. Its totient is φ = 44986976.

The previous prime is 135214577. The next prime is 135214657. The reversal of 135214584 is 485412531.

135214584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8509 + ... + 18515.

It is an arithmetic number, because the mean of its divisors is an integer number (10583460).

Almost surely, 2135214584 is an apocalyptic number.

It is an amenable number.

135214584 is an abundant number, since it is smaller than the sum of its proper divisors (203456136).

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

135214584 is a wasteful number, since it uses less digits than its factorization.

135214584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10579 (or 10575 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 135214584 is about 11628.1805971528. The cubic root of 135214584 is about 513.2644426957.

The spelling of 135214584 in words is "one hundred thirty-five million, two hundred fourteen thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 563 1126 1689 2252 3378 4504 6756 10007 13512 20014 30021 40028 60042 80056 120084 240168 5633941 11267882 16901823 22535764 33803646 45071528 67607292 135214584