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677189112 = 233431135807
BaseRepresentation
bin101000010111010…
…001010111111000
31202012020202211020
4220113101113320
52341330022422
6151110302440
722532004165
oct5027212770
91665222736
10677189112
1131828a226
1216a957a20
13aa3b3722
1465d1b06c
153e6b895c
hex285d15f8

677189112 has 64 divisors (see below), whose sum is σ = 1747975680. Its totient is φ = 218491392.

The previous prime is 677189111. The next prime is 677189129. The reversal of 677189112 is 211981776.

677189112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6771891122 = 917170186822697088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677189111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113713 + ... + 119519.

It is an arithmetic number, because the mean of its divisors is an integer number (27312120).

Almost surely, 2677189112 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 677189112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873987840).

677189112 is an abundant number, since it is smaller than the sum of its proper divisors (1070786568).

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

677189112 is a wasteful number, since it uses less digits than its factorization.

677189112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 5968 counting only the distinct ones).

The product of its digits is 42336, while the sum is 42.

The square root of 677189112 is about 26022.8574910597. The cubic root of 677189112 is about 878.1525947974.

The spelling of 677189112 in words is "six hundred seventy-seven million, one hundred eighty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 113 129 172 226 258 339 344 452 516 678 904 1032 1356 2712 4859 5807 9718 11614 14577 17421 19436 23228 29154 34842 38872 46456 58308 69684 116616 139368 249701 499402 656191 749103 998804 1312382 1498206 1968573 1997608 2624764 2996412 3937146 5249528 5992824 7874292 15748584 28216213 56432426 84648639 112864852 169297278 225729704 338594556 677189112