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135952336 = 2413653617
BaseRepresentation
bin10000001101001…
…11011111010000
3100110211002112201
420012213133100
5234300433321
621253532544
73240401332
oct1006473720
9313732481
10135952336
116a818003
1239644154
1322220b90
14140ad452
15be07291
hex81a77d0

135952336 has 20 divisors (see below), whose sum is σ = 283670212. Its totient is φ = 62747136.

The previous prime is 135952309. The next prime is 135952337. The reversal of 135952336 is 633259531.

It can be written as a sum of positive squares in 2 ways, for example, as 22657600 + 113294736 = 4760^2 + 10644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135952295 and 135952304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135952337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 326601 + ... + 327016.

Almost surely, 2135952336 is an apocalyptic number.

135952336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135952336 is an abundant number, since it is smaller than the sum of its proper divisors (147717876).

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

135952336 is a wasteful number, since it uses less digits than its factorization.

135952336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653638 (or 653632 counting only the distinct ones).

The product of its digits is 72900, while the sum is 37.

The square root of 135952336 is about 11659.8600334652. The cubic root of 135952336 is about 514.1962338737.

It can be divided in two parts, 13595 and 2336, that added together give a triangular number (15931 = T178).

The spelling of 135952336 in words is "one hundred thirty-five million, nine hundred fifty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 653617 1307234 2614468 5228936 8497021 10457872 16994042 33988084 67976168 135952336