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114916056 = 23317713967
BaseRepresentation
bin1101101100101…
…11101011011000
322000020100012020
412312113223120
5213404303211
615223014440
72563525143
oct666275330
9260210166
10114916056
115995a152
123259a420
131aa66b88
141139505a
15a14e306
hex6d97ad8

114916056 has 64 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 35535360.

The previous prime is 114916037. The next prime is 114916057. The reversal of 114916056 is 650619411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114916057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26985 + ... + 30951.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2114916056 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 114916056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

114916056 is an abundant number, since it is smaller than the sum of its proper divisors (193635624).

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

114916056 is a wasteful number, since it uses less digits than its factorization.

114916056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 114916056 is about 10719.8906710843. The cubic root of 114916056 is about 486.1760611246.

It can be divided in two parts, 1149 and 16056, that added together give a triangular number (17205 = T185).

The spelling of 114916056 in words is "one hundred fourteen million, nine hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 3621 3967 4828 7242 7934 9656 11901 14484 15868 23802 28968 31736 47604 67439 95208 134878 202317 269756 281657 404634 539512 563314 809268 844971 1126628 1618536 1689942 2253256 3379884 4788169 6759768 9576338 14364507 19152676 28729014 38305352 57458028 114916056