Search a number
-
+
116924808 = 2337111331157
BaseRepresentation
bin1101111100000…
…10000110001000
322011000101200110
412332002012020
5214413043213
615334034320
72616562440
oct676020610
9264011613
10116924808
1160001380
12331a89a0
131b2bb2a0
1411759120
15a3e95c3
hex6f82188

116924808 has 256 divisors, whose sum is σ = 407715840. Its totient is φ = 26956800.

The previous prime is 116924791. The next prime is 116924809. The reversal of 116924808 is 808429611.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (116924809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744666 + ... + 744822.

It is an arithmetic number, because the mean of its divisors is an integer number (1592640).

Almost surely, 2116924808 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 116924808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203857920).

116924808 is an abundant number, since it is smaller than the sum of its proper divisors (290791032).

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

116924808 is a wasteful number, since it uses less digits than its factorization.

116924808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 116924808 is about 10813.1775163455. The cubic root of 116924808 is about 488.9925266818.

The spelling of 116924808 in words is "one hundred sixteen million, nine hundred twenty-four thousand, eight hundred eight".