Search a number
-
+
2395164 = 2231759199
BaseRepresentation
bin1001001000110000011100
311111200112210
421020300130
51103121124
6123200420
726233662
oct11106034
94450483
102395164
111396582
12976110
1365b275
14464c32
15324a29
hex248c1c

2395164 has 48 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 734976.

The previous prime is 2395163. The next prime is 2395177. The reversal of 2395164 is 4615932.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2395163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11937 + ... + 12135.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

22395164 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 2395164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2395164 is an abundant number, since it is smaller than the sum of its proper divisors (3652836).

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

2395164 is a wasteful number, since it uses less digits than its factorization.

2395164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 280 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 2395164 is about 1547.6317391421. The cubic root of 2395164 is about 133.7966023880.

The spelling of 2395164 in words is "two million, three hundred ninety-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 199 204 236 354 398 597 708 796 1003 1194 2006 2388 3009 3383 4012 6018 6766 10149 11741 12036 13532 20298 23482 35223 40596 46964 70446 140892 199597 399194 598791 798388 1197582 2395164