Search a number
-
+
116064264 = 23329374507
BaseRepresentation
bin1101110101100…
…00000000001000
322002101200020110
412322300000020
5214203024024
615303354320
72606346531
oct672600010
9262350213
10116064264
115a573888
1232a529a0
131b0796a4
14115b3688
15a2c9629
hex6eb0008

116064264 has 64 divisors (see below), whose sum is σ = 308347200. Its totient is φ = 36336384.

The previous prime is 116064241. The next prime is 116064271. The reversal of 116064264 is 462460611.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23499 + ... + 28005.

It is an arithmetic number, because the mean of its divisors is an integer number (4817925).

Almost surely, 2116064264 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 116064264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154173600).

116064264 is an abundant number, since it is smaller than the sum of its proper divisors (192282936).

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

116064264 is a wasteful number, since it uses less digits than its factorization.

116064264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 116064264 is about 10773.3125824883. The cubic root of 116064264 is about 487.7899413952.

The spelling of 116064264 in words is "one hundred sixteen million, sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 37 58 74 87 111 116 148 174 222 232 296 348 444 696 888 1073 2146 3219 4292 4507 6438 8584 9014 12876 13521 18028 25752 27042 36056 54084 108168 130703 166759 261406 333518 392109 500277 522812 667036 784218 1000554 1045624 1334072 1568436 2001108 3136872 4002216 4836011 9672022 14508033 19344044 29016066 38688088 58032132 116064264