Search a number
-
+
238900680 = 233251953659
BaseRepresentation
bin11100011110101…
…01010111001000
3121122112102010100
432033111113020
5442124310210
635412245400
75630423304
oct1617252710
9548472110
10238900680
11112942687
1268010860
133a657665
1423a2ad04
1515e905c0
hexe3d55c8

238900680 has 192 divisors, whose sum is σ = 833976000. Its totient is φ = 59125248.

The previous prime is 238900679. The next prime is 238900687. The reversal of 238900680 is 86009832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (238900687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362191 + ... + 362849.

It is an arithmetic number, because the mean of its divisors is an integer number (4343625).

Almost surely, 2238900680 is an apocalyptic number.

238900680 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 238900680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416988000).

238900680 is an abundant number, since it is smaller than the sum of its proper divisors (595075320).

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

238900680 is a wasteful number, since it uses less digits than its factorization.

238900680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 238900680 is about 15456.4122615826. The cubic root of 238900680 is about 620.4962035314.

The spelling of 238900680 in words is "two hundred thirty-eight million, nine hundred thousand, six hundred eighty".