Search a number
-
+
116948232 = 2333678081
BaseRepresentation
bin1101111100001…
…11110100001000
322011001120211000
412332013310020
5214414320412
615334335000
72620020642
oct676076410
9264046730
10116948232
1160017a35
12331ba460
131b2c8b4b
1411763892
15a4014dc
hex6f87d08

116948232 has 64 divisors (see below), whose sum is σ = 329745600. Its totient is φ = 38396160.

The previous prime is 116948189. The next prime is 116948243. The reversal of 116948232 is 232849611.

It is a super-4 number, since 4×1169482324 (a number of 33 digits) contains 4444 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 10432 + ... + 18512.

It is an arithmetic number, because the mean of its divisors is an integer number (5152275).

Almost surely, 2116948232 is an apocalyptic number.

116948232 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 116948232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164872800).

116948232 is an abundant number, since it is smaller than the sum of its proper divisors (212797368).

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

116948232 is a wasteful number, since it uses less digits than its factorization.

116948232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8153 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 116948232 is about 10814.2605849868. The cubic root of 116948232 is about 489.0251784243.

The spelling of 116948232 in words is "one hundred sixteen million, nine hundred forty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 8081 14472 16162 24243 32324 48486 64648 72729 96972 145458 193944 218187 290916 436374 541427 581832 872748 1082854 1624281 1745496 2165708 3248562 4331416 4872843 6497124 9745686 12994248 14618529 19491372 29237058 38982744 58474116 116948232