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5104680 = 2335759103
BaseRepresentation
bin10011011110010000101000
3100121100022020
4103132100220
52301322210
6301224440
761250310
oct23362050
910540266
105104680
112977249
121862120
131099629
1496c440
156ac770
hex4de428

5104680 has 128 divisors (see below), whose sum is σ = 17971200. Its totient is φ = 1135872.

The previous prime is 5104679. The next prime is 5104691. The reversal of 5104680 is 864015.

5104680 = T33 + T34 + ... + T312.

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 5104680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49509 + ... + 49611.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 25104680 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 5104680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985600).

5104680 is an abundant number, since it is smaller than the sum of its proper divisors (12866520).

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

5104680 is a wasteful number, since it uses less digits than its factorization.

5104680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5104680 is about 2259.3538899429. The cubic root of 5104680 is about 172.1826975241.

Adding to 5104680 its reverse (864015), we get a palindrome (5968695).

The spelling of 5104680 in words is "five million, one hundred four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 59 60 70 84 103 105 118 120 140 168 177 206 210 236 280 295 309 354 412 413 420 472 515 590 618 708 721 824 826 840 885 1030 1180 1236 1239 1416 1442 1545 1652 1770 2060 2065 2163 2360 2472 2478 2884 3090 3304 3540 3605 4120 4130 4326 4956 5768 6077 6180 6195 7080 7210 8260 8652 9912 10815 12154 12360 12390 14420 16520 17304 18231 21630 24308 24780 28840 30385 36462 42539 43260 48616 49560 60770 72924 85078 86520 91155 121540 127617 145848 170156 182310 212695 243080 255234 340312 364620 425390 510468 638085 729240 850780 1020936 1276170 1701560 2552340 5104680