Search a number
-
+
112935968 = 253529249
BaseRepresentation
bin1101011101101…
…00010000100000
321212111202000122
412232310100200
5212402422333
615112335412
72540640245
oct656642040
9255452018
10112935968
1158827512
12319a4568
131a522822
1410ddb5cc
159dac798
hex6bb4420

112935968 has 12 divisors (see below), whose sum is σ = 222342750. Its totient is φ = 56467968.

The previous prime is 112935967. The next prime is 112935983. The reversal of 112935968 is 869539211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 93470224 + 19465744 = 9668^2 + 4412^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (112935967) 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 as a sum of consecutive naturals, namely, 1764593 + ... + 1764656.

Almost surely, 2112935968 is an apocalyptic number.

It is an amenable number.

112935968 is a deficient number, since it is larger than the sum of its proper divisors (109406782).

112935968 is an equidigital number, since it uses as much as digits as its factorization.

112935968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529259 (or 3529251 counting only the distinct ones).

The product of its digits is 116640, while the sum is 44.

The square root of 112935968 is about 10627.1335740170. The cubic root of 112935968 is about 483.3674773607.

The spelling of 112935968 in words is "one hundred twelve million, nine hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 3529249 7058498 14116996 28233992 56467984 112935968