Search a number
-
+
239927425920 = 27335721371307
BaseRepresentation
bin1101111101110011001…
…0011111101110000000
3211221021221210002002000
43133130302133232000
512412332410112140
6302115433224000
723222424320400
oct3373462375600
9757257702060
10239927425920
1192830860266
123a5bb262000
13198183413a0
14b880b9a800
1563938c2a30
hex37dcc9fb80

239927425920 has 1536 divisors, whose sum is σ = 1083022617600. Its totient is φ = 49746493440.

The previous prime is 239927425901. The next prime is 239927425937. The reversal of 239927425920 is 29524729932.

239927425920 is a `hidden beast` number, since 2 + 3 + 9 + 9 + 2 + 7 + 42 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 781522407 + ... + 781522713.

It is an arithmetic number, because the mean of its divisors is an integer number (705092850).

Almost surely, 2239927425920 is an apocalyptic number.

239927425920 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 239927425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541511308800).

239927425920 is an abundant number, since it is smaller than the sum of its proper divisors (843095191680).

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

239927425920 is a wasteful number, since it uses less digits than its factorization.

239927425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 239927425920 in words is "two hundred thirty-nine billion, nine hundred twenty-seven million, four hundred twenty-five thousand, nine hundred twenty".