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239921968 = 241113195519
BaseRepresentation
bin11100100110011…
…10101100110000
3121201110022001211
432103032230300
5442410000333
635450205504
75642205646
oct1623165460
9551408054
10239921968
1111347aa20
1268423894
133a924480
1423c15196
15160e2ecd
hexe4ceb30

239921968 has 80 divisors (see below), whose sum is σ = 574963200. Its totient is φ = 95351040.

The previous prime is 239921963. The next prime is 239921977. The reversal of 239921968 is 869129932.

239921968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (239921963) 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, 40713 + ... + 46231.

It is an arithmetic number, because the mean of its divisors is an integer number (7187040).

Almost surely, 2239921968 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 239921968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287481600).

239921968 is an abundant number, since it is smaller than the sum of its proper divisors (335041232).

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

239921968 is a wasteful number, since it uses less digits than its factorization.

239921968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5564 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

The square root of 239921968 is about 15489.4147081160. The cubic root of 239921968 is about 621.3791428993.

The spelling of 239921968 in words is "two hundred thirty-nine million, nine hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 208 209 247 286 304 418 494 572 836 988 1144 1672 1976 2288 2717 3344 3952 5434 5519 10868 11038 21736 22076 43472 44152 60709 71747 88304 104861 121418 143494 209722 242836 286988 419444 485672 573976 789217 838888 971344 1147952 1153471 1363193 1578434 1677776 2306942 2726386 3156868 4613884 5452772 6313736 9227768 10905544 12627472 14995123 18455536 21811088 29990246 59980492 119960984 239921968