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5105916 = 223617103
BaseRepresentation
bin10011011110100011111100
3100121102000000
4103132203330
52301342131
6301234300
761254024
oct23364374
910542000
105105916
112978172
121862990
13109a06a
1496ca84
156acce6
hex4de8fc

5105916 has 84 divisors (see below), whose sum is σ = 14322672. Its totient is φ = 1586304.

The previous prime is 5105897. The next prime is 5105921. The reversal of 5105916 is 6195015.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5105916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 49521 + ... + 49623.

It is an arithmetic number, because the mean of its divisors is an integer number (170508).

Almost surely, 25105916 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 5105916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7161336).

5105916 is an abundant number, since it is smaller than the sum of its proper divisors (9216756).

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

5105916 is a wasteful number, since it uses less digits than its factorization.

5105916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 5105916 is about 2259.6274029140. The cubic root of 5105916 is about 172.1965933112.

The spelling of 5105916 in words is "five million, one hundred five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 103 108 153 162 204 206 243 306 309 324 412 459 486 612 618 729 918 927 972 1236 1377 1458 1751 1836 1854 2754 2781 2916 3502 3708 4131 5253 5508 5562 7004 8262 8343 10506 11124 12393 15759 16524 16686 21012 24786 25029 31518 33372 47277 49572 50058 63036 75087 94554 100116 141831 150174 189108 283662 300348 425493 567324 850986 1276479 1701972 2552958 5105916