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5066160 = 24351119101
BaseRepresentation
bin10011010100110110110000
3100112101110120
4103110312300
52244104120
6300330240
761030101
oct23246660
910471416
105066160
112950310
121843980
131084c38
1495c3a8
156a1140
hex4d4db0

5066160 has 160 divisors (see below), whose sum is σ = 18213120. Its totient is φ = 1152000.

The previous prime is 5066143. The next prime is 5066161. The reversal of 5066160 is 616605.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 5066160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5066161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50110 + ... + 50210.

It is an arithmetic number, because the mean of its divisors is an integer number (113832).

Almost surely, 25066160 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 5066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

5066160 is an abundant number, since it is smaller than the sum of its proper divisors (13146960).

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

5066160 is a wasteful number, since it uses less digits than its factorization.

5066160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5066160 is about 2250.8131863840. The cubic root of 5066160 is about 171.7485057151.

It can be divided in two parts, 50661 and 60, that added together give a triangular number (50721 = T318).

The spelling of 5066160 in words is "five million, sixty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 101 110 114 120 132 152 165 176 190 202 209 220 228 240 264 285 303 304 330 380 404 418 440 456 505 528 570 606 627 660 760 808 836 880 912 1010 1045 1111 1140 1212 1254 1320 1515 1520 1616 1672 1919 2020 2090 2222 2280 2424 2508 2640 3030 3135 3333 3344 3838 4040 4180 4444 4560 4848 5016 5555 5757 6060 6270 6666 7676 8080 8360 8888 9595 10032 11110 11514 12120 12540 13332 15352 16665 16720 17776 19190 21109 22220 23028 24240 25080 26664 28785 30704 33330 38380 42218 44440 46056 50160 53328 57570 63327 66660 76760 84436 88880 92112 105545 115140 126654 133320 153520 168872 211090 230280 253308 266640 316635 337744 422180 460560 506616 633270 844360 1013232 1266540 1688720 2533080 5066160