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5018160 = 2435729103
BaseRepresentation
bin10011001001001000110000
3100102221121210
4103021020300
52241040120
6255320120
760440130
oct23111060
910387553
105018160
112918244
121820040
131069134
14948ac0
15691ce0
hex4c9230

5018160 has 160 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 1096704.

The previous prime is 5018149. The next prime is 5018161. The reversal of 5018160 is 618105.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5018161) 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, 48669 + ... + 48771.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 25018160 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 5018160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

5018160 is an abundant number, since it is smaller than the sum of its proper divisors (13552080).

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

5018160 is a wasteful number, since it uses less digits than its factorization.

5018160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 5018160 is about 2240.1249965125. The cubic root of 5018160 is about 171.2043656266.

The spelling of 5018160 in words is "five million, eighteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 103 105 112 116 120 140 145 168 174 203 206 210 232 240 280 290 309 336 348 406 412 420 435 464 515 560 580 609 618 696 721 812 824 840 870 1015 1030 1160 1218 1236 1392 1442 1545 1624 1648 1680 1740 2030 2060 2163 2320 2436 2472 2884 2987 3045 3090 3248 3480 3605 4060 4120 4326 4872 4944 5768 5974 6090 6180 6960 7210 8120 8240 8652 8961 9744 10815 11536 11948 12180 12360 14420 14935 16240 17304 17922 20909 21630 23896 24360 24720 28840 29870 34608 35844 41818 43260 44805 47792 48720 57680 59740 62727 71688 83636 86520 89610 104545 119480 125454 143376 167272 173040 179220 209090 238960 250908 313635 334544 358440 418180 501816 627270 716880 836360 1003632 1254540 1672720 2509080 5018160