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5013960 = 2335747127
BaseRepresentation
bin10011001000000111001000
3100102201212020
4103020013020
52240421320
6255244440
760421650
oct23100710
910381766
105013960
112915076
121819720
131067253
14947360
15690940
hex4c81c8

5013960 has 128 divisors (see below), whose sum is σ = 17694720. Its totient is φ = 1112832.

The previous prime is 5013919. The next prime is 5013961. The reversal of 5013960 is 693105.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5013960.

It is not an unprimeable number, because it can be changed into a prime (5013961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39417 + ... + 39543.

It is an arithmetic number, because the mean of its divisors is an integer number (138240).

Almost surely, 25013960 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 5013960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847360).

5013960 is an abundant number, since it is smaller than the sum of its proper divisors (12680760).

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

5013960 is a wasteful number, since it uses less digits than its factorization.

5013960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 5013960 is about 2239.1873525902. The cubic root of 5013960 is about 171.1565885505.

The spelling of 5013960 in words is "five million, thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 127 140 141 168 188 210 235 254 280 282 329 376 381 420 470 508 564 635 658 705 762 840 889 940 987 1016 1128 1270 1316 1410 1524 1645 1778 1880 1905 1974 2540 2632 2667 2820 3048 3290 3556 3810 3948 4445 4935 5080 5334 5640 5969 6580 7112 7620 7896 8890 9870 10668 11938 13160 13335 15240 17780 17907 19740 21336 23876 26670 29845 35560 35814 39480 41783 47752 53340 59690 71628 83566 89535 106680 119380 125349 143256 167132 179070 208915 238760 250698 334264 358140 417830 501396 626745 716280 835660 1002792 1253490 1671320 2506980 5013960