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114837012 = 22324217577
BaseRepresentation
bin1101101100001…
…00011000010100
322000002022202200
412312010120110
5213344241022
615221204500
72563045533
oct666043024
9260068680
10114837012
1159905824
1232560730
131aa39bc4
141137431a
15a135bac
hex6d84614

114837012 has 36 divisors (see below), whose sum is σ = 291010356. Its totient is φ = 38183040.

The previous prime is 114836993. The next prime is 114837043. The reversal of 114837012 is 210738411.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 114190596 = 804^2 + 10686^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11368 + ... + 18944.

It is an arithmetic number, because the mean of its divisors is an integer number (8083621).

Almost surely, 2114837012 is an apocalyptic number.

114837012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114837012 is an abundant number, since it is smaller than the sum of its proper divisors (176173344).

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

114837012 is a wasteful number, since it uses less digits than its factorization.

114837012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 114837012 is about 10716.2032455530. The cubic root of 114837012 is about 486.0645649120.

The spelling of 114837012 in words is "one hundred fourteen million, eight hundred thirty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 421 842 1263 1684 2526 3789 5052 7577 7578 15154 15156 22731 30308 45462 68193 90924 136386 272772 3189917 6379834 9569751 12759668 19139502 28709253 38279004 57418506 114837012