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114072364 = 22723177131
BaseRepresentation
bin1101100110010…
…01101100101100
321221122110212101
412303021230230
5213200303424
615152544444
72553412330
oct663115454
9257573771
10114072364
115943328a
1232252124
131a82cb53
14112157c0
15a034344
hex6cc9b2c

114072364 has 24 divisors (see below), whose sum is σ = 238065408. Its totient is φ = 46762320.

The previous prime is 114072359. The next prime is 114072367. The reversal of 114072364 is 463270411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (114072367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87922 + ... + 89209.

It is an arithmetic number, because the mean of its divisors is an integer number (9919392).

Almost surely, 2114072364 is an apocalyptic number.

114072364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114072364 is an abundant number, since it is smaller than the sum of its proper divisors (123993044).

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

114072364 is a wasteful number, since it uses less digits than its factorization.

114072364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177165 (or 177163 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 114072364 is about 10680.4664692138. The cubic root of 114072364 is about 484.9833331149.

The spelling of 114072364 in words is "one hundred fourteen million, seventy-two thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 177131 354262 708524 1239917 2479834 4074013 4959668 8148026 16296052 28518091 57036182 114072364