Search a number
-
+
135822432 = 2537119927
BaseRepresentation
bin10000001100001…
…11110001100000
3100110120111100110
420012013301200
5234232304212
621251051320
73236320524
oct1006076140
9313514313
10135822432
116a739449
12395a0b40
13221a6a05
1414077d84
15bdcda3c
hex8187c60

135822432 has 48 divisors (see below), whose sum is σ = 361573632. Its totient is φ = 44634240.

The previous prime is 135822403. The next prime is 135822437. The reversal of 135822432 is 234228531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 135822432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135822437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3148 + ... + 16779.

It is an arithmetic number, because the mean of its divisors is an integer number (7532784).

Almost surely, 2135822432 is an apocalyptic number.

135822432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135822432 is an abundant number, since it is smaller than the sum of its proper divisors (225751200).

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

135822432 is a wasteful number, since it uses less digits than its factorization.

135822432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20011 (or 20003 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 135822432 is about 11654.2881378487. The cubic root of 135822432 is about 514.0324082378.

The spelling of 135822432 in words is "one hundred thirty-five million, eight hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 19927 39854 59781 79708 119562 159416 239124 318832 478248 637664 956496 1414817 1912992 2829634 4244451 5659268 8488902 11318536 16977804 22637072 33955608 45274144 67911216 135822432