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564138 = 23331337
BaseRepresentation
bin10001001101110101010
31001122212000
42021232222
5121023023
620031430
74536501
oct2115652
91048760
10564138
11355933
12232576
13169a13
14109838
15b2243
hex89baa

564138 has 32 divisors (see below), whose sum is σ = 1297920. Its totient is φ = 181440.

The previous prime is 564133. The next prime is 564149. The reversal of 564138 is 831465.

564138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (564133) by changing a digit.

564138 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1506 + ... + 1842.

It is an arithmetic number, because the mean of its divisors is an integer number (40560).

2564138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648960).

564138 is an abundant number, since it is smaller than the sum of its proper divisors (733782).

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

564138 is a wasteful number, since it uses less digits than its factorization.

564138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 564138 is about 751.0912061794. The cubic root of 564138 is about 82.6282303395.

The spelling of 564138 in words is "five hundred sixty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 337 558 674 837 1011 1674 2022 3033 6066 9099 10447 18198 20894 31341 62682 94023 188046 282069 564138