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135620232 = 23311598707
BaseRepresentation
bin10000001010101…
…10011010001000
3100110012012222120
420011112122020
5234204321412
621242451240
73234516156
oct1005263210
9313165876
10135620232
116a610540
1239503b20
1322135977
14140243d6
15bd8db8c
hex8156688

135620232 has 64 divisors (see below), whose sum is σ = 376185600. Its totient is φ = 40395840.

The previous prime is 135620231. The next prime is 135620267. The reversal of 135620232 is 232026531.

135620232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (135620231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11223 + ... + 19929.

It is an arithmetic number, because the mean of its divisors is an integer number (5877900).

Almost surely, 2135620232 is an apocalyptic number.

135620232 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 135620232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188092800).

135620232 is an abundant number, since it is smaller than the sum of its proper divisors (240565368).

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

135620232 is a wasteful number, since it uses less digits than its factorization.

135620232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135620232 is about 11645.6099883175. The cubic root of 135620232 is about 513.7772000920. Note that the first 3 decimals are identical.

Adding to 135620232 its reverse (232026531), we get a palindrome (367646763).

The spelling of 135620232 in words is "one hundred thirty-five million, six hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1416 1947 2596 3894 5192 7788 8707 15576 17414 26121 34828 52242 69656 95777 104484 191554 208968 287331 383108 513713 574662 766216 1027426 1149324 1541139 2054852 2298648 3082278 4109704 5650843 6164556 11301686 12329112 16952529 22603372 33905058 45206744 67810116 135620232