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5013810 = 23251729113
BaseRepresentation
bin10011001000000100110010
3100102201122200
4103020010302
52240420220
6255244030
760421344
oct23100462
910381580
105013810
112914a4a
121819616
131067169
14947294
15690890
hex4c8132

5013810 has 96 divisors (see below), whose sum is σ = 14405040. Its totient is φ = 1204224.

The previous prime is 5013797. The next prime is 5013817. The reversal of 5013810 is 183105.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1361889 + 3651921 = 1167^2 + 1911^2 .

It is a super-2 number, since 2×50138102 = 50276581432200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5013817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44314 + ... + 44426.

Almost surely, 25013810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5013810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202520).

5013810 is an abundant number, since it is smaller than the sum of its proper divisors (9391230).

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

5013810 is a wasteful number, since it uses less digits than its factorization.

5013810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5013810 is about 2239.1538580455. The cubic root of 5013810 is about 171.1548817330.

Adding to 5013810 its reverse (183105), we get a palindrome (5196915).

The spelling of 5013810 in words is "five million, thirteen thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 29 30 34 45 51 58 85 87 90 102 113 145 153 170 174 226 255 261 290 306 339 435 493 510 522 565 678 765 870 986 1017 1130 1305 1479 1530 1695 1921 2034 2465 2610 2958 3277 3390 3842 4437 4930 5085 5763 6554 7395 8874 9605 9831 10170 11526 14790 16385 17289 19210 19662 22185 28815 29493 32770 34578 44370 49155 55709 57630 58986 86445 98310 111418 147465 167127 172890 278545 294930 334254 501381 557090 835635 1002762 1671270 2506905 5013810