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5015934 = 2327211247
BaseRepresentation
bin10011001000100101111110
3100102211120100
4103020211332
52241002214
6255301530
760430500
oct23104576
910384510
105015934
112916600
12181a8a6
131068111
14947d70
15691309
hex4c897e

5015934 has 108 divisors (see below), whose sum is σ = 14191632. Its totient is φ = 1275120.

The previous prime is 5015921. The next prime is 5015953. The reversal of 5015934 is 4395105.

5015934 = T596 + T597 + ... + T622.

5015934 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

5015934 is strictly pandigital in base 8.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5015898 and 5015907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 106699 + ... + 106745.

It is an arithmetic number, because the mean of its divisors is an integer number (131404).

Almost surely, 25015934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5015934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095816).

5015934 is an abundant number, since it is smaller than the sum of its proper divisors (9175698).

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

5015934 is a wasteful number, since it uses less digits than its factorization.

5015934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5015934 is about 2239.6280941263. The cubic root of 5015934 is about 171.1790470980.

The spelling of 5015934 in words is "five million, fifteen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 47 49 63 66 77 94 98 99 121 126 141 147 154 198 231 242 282 294 329 363 423 441 462 517 539 658 693 726 846 847 882 987 1034 1078 1089 1386 1551 1617 1694 1974 2178 2303 2541 2961 3102 3234 3619 4606 4653 4851 5082 5687 5922 5929 6909 7238 7623 9306 9702 10857 11374 11858 13818 15246 17061 17787 20727 21714 25333 32571 34122 35574 39809 41454 50666 51183 53361 65142 75999 79618 102366 106722 119427 151998 227997 238854 278663 358281 455994 557326 716562 835989 1671978 2507967 5015934