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116031408 = 2433779827
BaseRepresentation
bin1101110101001…
…11111110110000
322002100000011120
412322213332300
5214201001113
615302542240
72606151663
oct672477660
9262300146
10116031408
115a551129
1232a37980
131b06774c
14115a56da
15a2bea23
hex6ea7fb0

116031408 has 80 divisors (see below), whose sum is σ = 312122880. Its totient is φ = 37110528.

The previous prime is 116031401. The next prime is 116031413. The reversal of 116031408 is 804130611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (116031401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139891 + ... + 140717.

It is an arithmetic number, because the mean of its divisors is an integer number (3901536).

Almost surely, 2116031408 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 116031408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156061440).

116031408 is an abundant number, since it is smaller than the sum of its proper divisors (196091472).

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

116031408 is a wasteful number, since it uses less digits than its factorization.

116031408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 116031408 is about 10771.7875953808. The cubic root of 116031408 is about 487.7439084524.

The spelling of 116031408 in words is "one hundred sixteen million, thirty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 79 111 148 158 222 237 296 316 444 474 592 632 827 888 948 1264 1654 1776 1896 2481 2923 3308 3792 4962 5846 6616 8769 9924 11692 13232 17538 19848 23384 30599 35076 39696 46768 61198 65333 70152 91797 122396 130666 140304 183594 195999 244792 261332 367188 391998 489584 522664 734376 783996 1045328 1468752 1567992 2417321 3135984 4834642 7251963 9669284 14503926 19338568 29007852 38677136 58015704 116031408