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5312320 = 265131277
BaseRepresentation
bin10100010000111101000000
3100222220010121
4110100331000
52324443240
6305510024
763103546
oct24207500
910886117
105312320
112aa9252
121942314
13113ccb0
149c3d96
156ee04a
hex510f40

5312320 has 56 divisors (see below), whose sum is σ = 13633704. Its totient is φ = 1959936.

The previous prime is 5312317. The next prime is 5312323. The reversal of 5312320 is 232135.

It is an interprime number because it is at equal distance from previous prime (5312317) and next prime (5312323).

It can be written as a sum of positive squares in 4 ways, for example, as 222784 + 5089536 = 472^2 + 2256^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 5312294 and 5312303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3522 + ... + 4798.

It is an arithmetic number, because the mean of its divisors is an integer number (243459).

Almost surely, 25312320 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 5312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816852).

5312320 is an abundant number, since it is smaller than the sum of its proper divisors (8321384).

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

5312320 is a wasteful number, since it uses less digits than its factorization.

5312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 5312320 is about 2304.8470665101. The cubic root of 5312320 is about 174.4863304591.

Adding to 5312320 its reverse (232135), we get a palindrome (5544455).

The spelling of 5312320 in words is "five million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1277 2080 2554 4160 5108 6385 10216 12770 16601 20432 25540 33202 40864 51080 66404 81728 83005 102160 132808 166010 204320 265616 332020 408640 531232 664040 1062464 1328080 2656160 5312320