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239668660 = 225711198191
BaseRepresentation
bin11100100100100…
…00110110110100
3121200222102121001
432102100312310
5442323344120
635440533044
75640102310
oct1622206664
9550872531
10239668660
11113317680
1268321184
133a86609a
1423b8ab40
1516092e0a
hexe490db4

239668660 has 96 divisors (see below), whose sum is σ = 660602880. Its totient is φ = 70761600.

The previous prime is 239668633. The next prime is 239668661. The reversal of 239668660 is 66866932.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 239668660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239668661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25165 + ... + 33355.

It is an arithmetic number, because the mean of its divisors is an integer number (6881280).

Almost surely, 2239668660 is an apocalyptic number.

239668660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239668660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330301440).

239668660 is an abundant number, since it is smaller than the sum of its proper divisors (420934220).

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

239668660 is a wasteful number, since it uses less digits than its factorization.

239668660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The square root of 239668660 is about 15481.2357387904. The cubic root of 239668660 is about 621.1603832531.

The spelling of 239668660 in words is "two hundred thirty-nine million, six hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 8191 14630 16382 29260 32764 40955 57337 81910 90101 114674 155629 163820 180202 229348 286685 311258 360404 450505 573370 622516 630707 778145 901010 1089403 1146740 1261414 1556290 1711919 1802020 2178806 2522828 3112580 3153535 3423838 4357612 5447015 6307070 6847676 8559595 10894030 11983433 12614140 17119190 21788060 23966866 34238380 47933732 59917165 119834330 239668660