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5105620 = 2251373269
BaseRepresentation
bin10011011110011111010100
3100121101121001
4103132133110
52301334440
6301233044
761253122
oct23363724
910541531
105105620
112977a23
121862784
131099ba0
1496c912
156acb9a
hex4de7d4

5105620 has 48 divisors (see below), whose sum is σ = 11748240. Its totient is φ = 1852416.

The previous prime is 5105587. The next prime is 5105629. The reversal of 5105620 is 265015.

It is a happy number.

5105620 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 8 ways, for example, as 1153476 + 3952144 = 1074^2 + 1988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18846 + ... + 19114.

It is an arithmetic number, because the mean of its divisors is an integer number (244755).

Almost surely, 25105620 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 5105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874120).

5105620 is an abundant number, since it is smaller than the sum of its proper divisors (6642620).

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

5105620 is a wasteful number, since it uses less digits than its factorization.

5105620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 5105620 is about 2259.5619044408. The cubic root of 5105620 is about 172.1932657217.

It can be divided in two parts, 51056 and 20, that added together give a square (51076 = 2262).

The spelling of 5105620 in words is "five million, one hundred five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 269 292 365 538 730 949 1076 1345 1460 1898 2690 3497 3796 4745 5380 6994 9490 13988 17485 18980 19637 34970 39274 69940 78548 98185 196370 255281 392740 510562 1021124 1276405 2552810 5105620