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239706016 = 25114714489
BaseRepresentation
bin11100100100110…
…01111110100000
3121201001022211121
432102121332200
5442331043031
635441422024
75640316234
oct1622317640
9551038747
10239706016
11113342750
126833a914
133a87a0a4
1423b9a5c4
151609e011
hexe499fa0

239706016 has 48 divisors (see below), whose sum is σ = 525813120. Its totient is φ = 106631680.

The previous prime is 239706013. The next prime is 239706031. The reversal of 239706016 is 610607932.

239706016 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 (239706013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9300 + ... + 23788.

It is an arithmetic number, because the mean of its divisors is an integer number (10954440).

Almost surely, 2239706016 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 239706016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262906560).

239706016 is an abundant number, since it is smaller than the sum of its proper divisors (286107104).

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

239706016 is a wasteful number, since it uses less digits than its factorization.

239706016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14557 (or 14549 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 239706016 is about 15482.4421846167. The cubic root of 239706016 is about 621.1926540025.

The spelling of 239706016 in words is "two hundred thirty-nine million, seven hundred six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 752 1034 1504 2068 4136 8272 14489 16544 28978 57956 115912 159379 231824 318758 463648 637516 680983 1275032 1361966 2550064 2723932 5100128 5447864 7490813 10895728 14981626 21791456 29963252 59926504 119853008 239706016