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135631716 = 223113373049
BaseRepresentation
bin10000001010110…
…01001101100100
3100110012210201220
420011121031210
5234210203331
621243020340
73234564513
oct1005311544
9313183656
10135631716
116a619130
123950a6b0
132213ac6c
141402867a
15bd92296
hex8159364

135631716 has 48 divisors (see below), whose sum is σ = 346382400. Its totient is φ = 40965120.

The previous prime is 135631697. The next prime is 135631721. The reversal of 135631716 is 617136531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 42960 + ... + 46008.

It is an arithmetic number, because the mean of its divisors is an integer number (7216300).

Almost surely, 2135631716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135631716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173191200).

135631716 is an abundant number, since it is smaller than the sum of its proper divisors (210750684).

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

135631716 is a wasteful number, since it uses less digits than its factorization.

135631716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3402 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 135631716 is about 11646.1030392144. The cubic root of 135631716 is about 513.7917014948.

The spelling of 135631716 in words is "one hundred thirty-five million, six hundred thirty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 674 1011 1348 2022 3049 3707 4044 6098 7414 9147 11121 12196 14828 18294 22242 33539 36588 44484 67078 100617 134156 201234 402468 1027513 2055026 3082539 4110052 6165078 11302643 12330156 22605286 33907929 45210572 67815858 135631716