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5130864 = 243437107
BaseRepresentation
bin10011100100101001110000
3100122200020000
4103210221300
52303141424
6301550000
761416534
oct23445160
910580200
105130864
112994992
121875300
1310a851b
14977bc4
156b53c9
hex4e4a70

5130864 has 100 divisors (see below), whose sum is σ = 15394104. Its totient is φ = 1648512.

The previous prime is 5130857. The next prime is 5130869. The reversal of 5130864 is 4680315.

5130864 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47899 + ... + 48005.

Almost surely, 25130864 is an apocalyptic number.

5130864 is a gapful number since it is divisible by the number (54) 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 5130864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697052).

5130864 is an abundant number, since it is smaller than the sum of its proper divisors (10263240).

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

5130864 is a wasteful number, since it uses less digits than its factorization.

5130864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5130864 is about 2265.1410552105. The cubic root of 5130864 is about 172.4765941778.

The spelling of 5130864 in words is "five million, one hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 107 108 111 144 148 162 214 216 222 296 321 324 333 428 432 444 592 642 648 666 856 888 963 999 1284 1296 1332 1712 1776 1926 1998 2568 2664 2889 2997 3852 3959 3996 5136 5328 5778 5994 7704 7918 7992 8667 11556 11877 11988 15408 15836 15984 17334 23112 23754 23976 31672 34668 35631 46224 47508 47952 63344 69336 71262 95016 106893 138672 142524 190032 213786 285048 320679 427572 570096 641358 855144 1282716 1710288 2565432 5130864