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395900 = 225237107
BaseRepresentation
bin1100000101001111100
3202010001222
41200221330
5100132100
612252512
73236141
oct1405174
9663058
10395900
1125049a
12171138
1310b27b
14a43c8
157c485
hex60a7c

395900 has 36 divisors (see below), whose sum is σ = 890568. Its totient is φ = 152640.

The previous prime is 395897. The next prime is 395909. The reversal of 395900 is 9593.

It is a self number, because there is not a number n which added to its sum of digits gives 395900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3647 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2395900 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 395900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445284).

395900 is an abundant number, since it is smaller than the sum of its proper divisors (494668).

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

395900 is a wasteful number, since it uses less digits than its factorization.

395900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 26.

The square root of 395900 is about 629.2058486696. The cubic root of 395900 is about 73.4280227698.

The spelling of 395900 in words is "three hundred ninety-five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 107 148 185 214 370 428 535 740 925 1070 1850 2140 2675 3700 3959 5350 7918 10700 15836 19795 39590 79180 98975 197950 395900