Search a number
-
+
114406152 = 2337680989
BaseRepresentation
bin1101101000110…
…11001100001000
321222021102201220
412310123030020
5213241444102
615204042040
72556302430
oct664331410
9258242656
10114406152
1159641043
1232393320
131a918a63
14112a12c0
15a09d1bc
hex6d1b308

114406152 has 32 divisors (see below), whose sum is σ = 326875200. Its totient is φ = 32687424.

The previous prime is 114406139. The next prime is 114406153. The reversal of 114406152 is 251604411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114406153) 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, 340327 + ... + 340662.

It is an arithmetic number, because the mean of its divisors is an integer number (10214850).

Almost surely, 2114406152 is an apocalyptic number.

114406152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114406152 is an abundant number, since it is smaller than the sum of its proper divisors (212469048).

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

114406152 is a wasteful number, since it uses less digits than its factorization.

114406152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681005 (or 681001 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 114406152 is about 10696.0811515246. The cubic root of 114406152 is about 485.4559102666.

The spelling of 114406152 in words is "one hundred fourteen million, four hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 680989 1361978 2042967 2723956 4085934 4766923 5447912 8171868 9533846 14300769 16343736 19067692 28601538 38135384 57203076 114406152