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315900 = 22355213
BaseRepresentation
bin1001101000111111100
3121001100000
41031013330
540102100
610434300
72453664
oct1150774
9531300
10315900
111a6382
12132990
13b0a30
14831a4
1563900
hex4d1fc

315900 has 108 divisors (see below), whose sum is σ = 1105832. Its totient is φ = 77760.

The previous prime is 315899. The next prime is 315907. The reversal of 315900 is 9513.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24294 + ... + 24306.

315900 is a Friedman number, since it can be written as 35100*9, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 351900 (with its own digits).

2315900 is an apocalyptic number.

315900 is a gapful number since it is divisible by the number (30) 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 315900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552916).

315900 is an abundant number, since it is smaller than the sum of its proper divisors (789932).

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

315900 is a wasteful number, since it uses less digits than its factorization.

315900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 315900 is about 562.0498198559. The cubic root of 315900 is about 68.1056604195.

The spelling of 315900 in words is "three hundred fifteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 81 90 100 108 117 130 135 150 156 162 180 195 225 234 243 260 270 300 324 325 351 390 405 450 468 486 540 585 650 675 702 780 810 900 972 975 1053 1170 1215 1300 1350 1404 1620 1755 1950 2025 2106 2340 2430 2700 2925 3159 3510 3900 4050 4212 4860 5265 5850 6075 6318 7020 8100 8775 10530 11700 12150 12636 15795 17550 21060 24300 26325 31590 35100 52650 63180 78975 105300 157950 315900