Search a number
-
+
235691136 = 27321091877
BaseRepresentation
bin11100000110001…
…01110010000000
3121102111100110100
432003011302000
5440314104021
635215402400
75561225112
oct1603056200
9542440410
10235691136
1111105026a
1266b23400
1339aa2815
14234333b2
1515a59626
hexe0c5c80

235691136 has 96 divisors (see below), whose sum is σ = 684812700. Its totient is φ = 77801472.

The previous prime is 235691123. The next prime is 235691161. The reversal of 235691136 is 631196532.

It can be written as a sum of positive squares in 2 ways, for example, as 229340736 + 6350400 = 15144^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 235691136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124630 + ... + 126506.

Almost surely, 2235691136 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 235691136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342406350).

235691136 is an abundant number, since it is smaller than the sum of its proper divisors (449121564).

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

235691136 is a wasteful number, since it uses less digits than its factorization.

235691136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1991 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 235691136 is about 15352.2355375365. The cubic root of 235691136 is about 617.7049523196.

The spelling of 235691136 in words is "two hundred thirty-five million, six hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 288 327 384 436 576 654 872 981 1152 1308 1744 1877 1962 2616 3488 3754 3924 5232 5631 6976 7508 7848 10464 11262 13952 15016 15696 16893 20928 22524 30032 31392 33786 41856 45048 60064 62784 67572 90096 120128 125568 135144 180192 204593 240256 270288 360384 409186 540576 613779 720768 818372 1081152 1227558 1636744 1841337 2162304 2455116 3273488 3682674 4910232 6546976 7365348 9820464 13093952 14730696 19640928 26187904 29461392 39281856 58922784 78563712 117845568 235691136