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135896832 = 283319661
BaseRepresentation
bin10000001100110…
…01111100000000
3100110201021102000
420012121330000
5234242144312
621252424000
73240050451
oct1006317400
9313637360
10135896832
116a78a335
1239618000
1322201836
1414097128
15bde5adc
hex8199f00

135896832 has 72 divisors (see below), whose sum is σ = 401891280. Its totient is φ = 45296640.

The previous prime is 135896809. The next prime is 135896833. The reversal of 135896832 is 238698531.

It is a happy number.

135896832 is a `hidden beast` number, since 1 + 3 + 589 + 68 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135896833) 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, 2919 + ... + 16742.

Almost surely, 2135896832 is an apocalyptic number.

135896832 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 135896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200945640).

135896832 is an abundant number, since it is smaller than the sum of its proper divisors (265994448).

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

135896832 is an equidigital number, since it uses as much as digits as its factorization.

135896832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19686 (or 19666 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 135896832 is about 11657.4796590001. The cubic root of 135896832 is about 514.1262489722.

The spelling of 135896832 in words is "one hundred thirty-five million, eight hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 19661 39322 58983 78644 117966 157288 176949 235932 314576 353898 471864 530847 629152 707796 943728 1061694 1258304 1415592 1887456 2123388 2516608 2831184 3774912 4246776 5033216 5662368 7549824 8493552 11324736 15099648 16987104 22649472 33974208 45298944 67948416 135896832