Search a number
-
+
114476112 = 2433264991
BaseRepresentation
bin1101101001011…
…00010001010000
321222101222201000
412310230101100
5213301213422
615205342000
72560013412
oct664542120
9258358630
10114476112
1159689663
1232407900
131a94185a
14112bc9b2
15a0b3cac
hex6d2c450

114476112 has 40 divisors (see below), whose sum is σ = 328590080. Its totient is φ = 38158560.

The previous prime is 114476111. The next prime is 114476123. The reversal of 114476112 is 211674411.

114476112 is a `hidden beast` number, since 1 + 1 + 4 + 47 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114476111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 132064 + ... + 132927.

It is an arithmetic number, because the mean of its divisors is an integer number (8214752).

Almost surely, 2114476112 is an apocalyptic number.

114476112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114476112 is an abundant number, since it is smaller than the sum of its proper divisors (214113968).

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

114476112 is a wasteful number, since it uses less digits than its factorization.

114476112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265008 (or 264996 counting only the distinct ones).

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

The square root of 114476112 is about 10699.3510083556. The cubic root of 114476112 is about 485.5548431022.

The spelling of 114476112 in words is "one hundred fourteen million, four hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 264991 529982 794973 1059964 1589946 2119928 2384919 3179892 4239856 4769838 6359784 7154757 9539676 12719568 14309514 19079352 28619028 38158704 57238056 114476112