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239096000 = 26531121319
BaseRepresentation
bin11100100000001…
…01000011000000
3121122220100001102
432100011003000
5442202033000
635420353532
75632165613
oct1620050300
9548810042
10239096000
11112a66400
12680a58a8
133a6c5530
1423a7c17a
1515ecd3d5
hexe4050c0

239096000 has 336 divisors, whose sum is σ = 737798880. Its totient is φ = 76032000.

The previous prime is 239095991. The next prime is 239096009. The reversal of 239096000 is 690932.

239096000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (239095991) and next prime (239096009).

It is not an unprimeable number, because it can be changed into a prime (239096009) 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, 12583991 + ... + 12584009.

It is an arithmetic number, because the mean of its divisors is an integer number (2195830).

Almost surely, 2239096000 is an apocalyptic number.

239096000 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 239096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368899440).

239096000 is an abundant number, since it is smaller than the sum of its proper divisors (498702880).

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

239096000 is a wasteful number, since it uses less digits than its factorization.

239096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 239096000 is about 15462.7293839089. The cubic root of 239096000 is about 620.6652588680.

The spelling of 239096000 in words is "two hundred thirty-nine million, ninety-six thousand".