Search a number
-
+
239814680 = 23574718223
BaseRepresentation
bin11100100101101…
…00100000011000
3121201020211220012
432102310200120
5442343032210
635444021052
75641251110
oct1622644030
9551224805
10239814680
11113407356
1268391788
133a8b76a1
1423bc8040
15160c1305
hexe4b4818

239814680 has 64 divisors (see below), whose sum is σ = 629821440. Its totient is φ = 80468352.

The previous prime is 239814677. The next prime is 239814697. The reversal of 239814680 is 86418932.

It is a super-2 number, since 2×2398146802 = 115022161487004800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 4049 + ... + 22271.

It is an arithmetic number, because the mean of its divisors is an integer number (9840960).

Almost surely, 2239814680 is an apocalyptic number.

239814680 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 239814680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314910720).

239814680 is an abundant number, since it is smaller than the sum of its proper divisors (390006760).

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

239814680 is a wasteful number, since it uses less digits than its factorization.

239814680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18288 (or 18284 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 239814680 is about 15485.9510524863. The cubic root of 239814680 is about 621.2865065784.

The spelling of 239814680 in words is "two hundred thirty-nine million, eight hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 18223 36446 72892 91115 127561 145784 182230 255122 364460 510244 637805 728920 856481 1020488 1275610 1712962 2551220 3425924 4282405 5102440 5995367 6851848 8564810 11990734 17129620 23981468 29976835 34259240 47962936 59953670 119907340 239814680