Search a number
-
+
235136280 = 233519110259
BaseRepresentation
bin11100000001111…
…10010100011000
3121101110011100010
432000332110120
5440143330110
635155441520
75553424341
oct1600762430
9541404303
10235136280
11110801405
12668b62a0
133993a0c2
142332b0c8
151599a020
hexe03e518

235136280 has 64 divisors (see below), whose sum is σ = 709171200. Its totient is φ = 62368640.

The previous prime is 235136269. The next prime is 235136281. The reversal of 235136280 is 82631532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235136281) 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, 17791 + ... + 28049.

It is an arithmetic number, because the mean of its divisors is an integer number (11080800).

Almost surely, 2235136280 is an apocalyptic number.

235136280 is a gapful number since it is divisible by the number (20) 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 235136280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354585600).

235136280 is an abundant number, since it is smaller than the sum of its proper divisors (474034920).

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

235136280 is a wasteful number, since it uses less digits than its factorization.

235136280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10464 (or 10460 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 235136280 is about 15334.1540360073. The cubic root of 235136280 is about 617.2198448316.

The spelling of 235136280 in words is "two hundred thirty-five million, one hundred thirty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 10259 11460 20518 22920 30777 41036 51295 61554 82072 102590 123108 153885 205180 246216 307770 410360 615540 1231080 1959469 3918938 5878407 7837876 9797345 11756814 15675752 19594690 23513628 29392035 39189380 47027256 58784070 78378760 117568140 235136280