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5315900 = 2252175359
BaseRepresentation
bin10100010001110100111100
3101000002001012
4110101310330
52330102100
6305534352
763120152
oct24216474
911002035
105315900
113000a07
1219443b8
131141805
149c53d2
15700135
hex511d3c

5315900 has 72 divisors (see below), whose sum is σ = 12655440. Its totient is φ = 1930240.

The previous prime is 5315897. The next prime is 5315909. The reversal of 5315900 is 95135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5315909) 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 23 ways as a sum of consecutive naturals, for example, 90071 + ... + 90129.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 25315900 is an apocalyptic number.

5315900 is a gapful number since it is divisible by the number (50) 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 5315900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327720).

5315900 is an abundant number, since it is smaller than the sum of its proper divisors (7339540).

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

5315900 is a wasteful number, since it uses less digits than its factorization.

5315900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 5315900 is about 2305.6235599074. The cubic root of 5315900 is about 174.5255174053.

It can be divided in two parts, 531 and 5900, that multiplied together give a square (3132900 = 17702).

The spelling of 5315900 in words is "five million, three hundred fifteen thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 59 68 85 100 106 118 170 212 236 265 295 340 425 530 590 850 901 1003 1060 1180 1325 1475 1700 1802 2006 2650 2950 3127 3604 4012 4505 5015 5300 5900 6254 9010 10030 12508 15635 18020 20060 22525 25075 31270 45050 50150 53159 62540 78175 90100 100300 106318 156350 212636 265795 312700 531590 1063180 1328975 2657950 5315900