Search a number
-
+
113170768 = 24171373037
BaseRepresentation
bin1101011111011…
…01100101010000
321212221200002221
412233231211100
5212432431033
615121350424
72542635634
oct657554520
9255850087
10113170768
1158977967
1231a98414
131a5a5669
141105cdc4
159e0712d
hex6bed950

113170768 has 40 divisors (see below), whose sum is σ = 233938152. Its totient is φ = 52850688.

The previous prime is 113170727. The next prime is 113170807. The reversal of 113170768 is 867071311.

It can be written as a sum of positive squares in 4 ways, for example, as 55532304 + 57638464 = 7452^2 + 7592^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35746 + ... + 38782.

Almost surely, 2113170768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113170768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116969076).

113170768 is an abundant number, since it is smaller than the sum of its proper divisors (120767384).

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

113170768 is a wasteful number, since it uses less digits than its factorization.

113170768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 113170768 is about 10638.1750314610. The cubic root of 113170768 is about 483.7022278762.

The spelling of 113170768 in words is "one hundred thirteen million, one hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 137 272 274 548 1096 2192 2329 3037 4658 6074 9316 12148 18632 24296 37264 48592 51629 103258 206516 413032 416069 826064 832138 1664276 3328552 6657104 7073173 14146346 28292692 56585384 113170768