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239689368 = 233673563
BaseRepresentation
bin11100100100101…
…01111010011000
3121201000111000000
432102111322120
5442330024433
635441213000
75640216552
oct1622257230
9551014000
10239689368
11113331196
1268331160
133a872639
1423b944d2
1516099113
hexe495e98

239689368 has 112 divisors (see below), whose sum is σ = 684261720. Its totient is φ = 78662016.

The previous prime is 239689363. The next prime is 239689391. The reversal of 239689368 is 863986932.

239689368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239689363) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 425455 + ... + 426017.

Almost surely, 2239689368 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 239689368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342130860).

239689368 is an abundant number, since it is smaller than the sum of its proper divisors (444572352).

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

239689368 is an equidigital number, since it uses as much as digits as its factorization.

239689368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 641 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 239689368 is about 15481.9045340036. The cubic root of 239689368 is about 621.1782726993.

The spelling of 239689368 in words is "two hundred thirty-nine million, six hundred eighty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 243 292 324 438 486 563 584 648 657 729 876 972 1126 1314 1458 1689 1752 1944 1971 2252 2628 2916 3378 3942 4504 5067 5256 5832 5913 6756 7884 10134 11826 13512 15201 15768 17739 20268 23652 30402 35478 40536 41099 45603 47304 53217 60804 70956 82198 91206 106434 121608 123297 136809 141912 164396 182412 212868 246594 273618 328792 364824 369891 410427 425736 493188 547236 739782 820854 986376 1094472 1109673 1479564 1641708 2219346 2959128 3283416 3329019 4438692 6658038 8877384 9987057 13316076 19974114 26632152 29961171 39948228 59922342 79896456 119844684 239689368