Search a number
-
+
114935364 = 22323192649
BaseRepresentation
bin1101101100111…
…00011001000100
322000021022200100
412312130121010
5213410412424
615223244100
72563635345
oct666343104
9260238610
10114935364
1159972705
12325a9630
131aa728bb
141139c0cc
15a154dc9
hex6d9c644

114935364 has 18 divisors (see below), whose sum is σ = 290531150. Its totient is φ = 38311776.

The previous prime is 114935291. The next prime is 114935371. The reversal of 114935364 is 463539411.

114935364 is a `hidden beast` number, since 114 + 9 + 3 + 536 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81757764 + 33177600 = 9042^2 + 5760^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3192649 = 114935364 / (1 + 1 + 4 + 9 + 3 + 5 + 3 + 6 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1596289 + ... + 1596360.

Almost surely, 2114935364 is an apocalyptic number.

It is an amenable number.

114935364 is an abundant number, since it is smaller than the sum of its proper divisors (175595786).

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

114935364 is a wasteful number, since it uses less digits than its factorization.

114935364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192659 (or 3192654 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 114935364 is about 10720.7912021455. The cubic root of 114935364 is about 486.2032884243.

The spelling of 114935364 in words is "one hundred fourteen million, nine hundred thirty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3192649 6385298 9577947 12770596 19155894 28733841 38311788 57467682 114935364