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116923824 = 2435172961
BaseRepresentation
bin1101111100000…
…01110110110000
322011000100100000
412332001312300
5214413030244
615334030000
72616556533
oct676016660
9264010300
10116923824
1160000666
12331a8300
131b2ba9c4
1411758a1a
15a3e9169
hex6f81db0

116923824 has 240 divisors, whose sum is σ = 377788320. Its totient is φ = 34836480.

The previous prime is 116923823. The next prime is 116923831. The reversal of 116923824 is 428329611.

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 not an unprimeable number, because it can be changed into a prime (116923823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916754 + ... + 1916814.

It is an arithmetic number, because the mean of its divisors is an integer number (1574118).

Almost surely, 2116923824 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 116923824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894160).

116923824 is an abundant number, since it is smaller than the sum of its proper divisors (260864496).

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

116923824 is a wasteful number, since it uses less digits than its factorization.

116923824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

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

The square root of 116923824 is about 10813.1320162107. The cubic root of 116923824 is about 488.9911549456.

The spelling of 116923824 in words is "one hundred sixteen million, nine hundred twenty-three thousand, eight hundred twenty-four".