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5040840 = 2335717353
BaseRepresentation
bin10011001110101011001000
3100111002201210
4103032223020
52242301330
6300013120
760563220
oct23165310
910432653
105040840
112933292
1218311a0
13107655c
14953080
156988b0
hex4ceac8

5040840 has 128 divisors (see below), whose sum is σ = 18351360. Its totient is φ = 1081344.

The previous prime is 5040829. The next prime is 5040851. The reversal of 5040840 is 480405.

It is an interprime number because it is at equal distance from previous prime (5040829) and next prime (5040851).

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

It is an unprimeable number.

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, 14104 + ... + 14456.

It is an arithmetic number, because the mean of its divisors is an integer number (143370).

Almost surely, 25040840 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 5040840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9175680).

5040840 is an abundant number, since it is smaller than the sum of its proper divisors (13310520).

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

5040840 is a wasteful number, since it uses less digits than its factorization.

5040840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5040840 is about 2245.1815071392. The cubic root of 5040840 is about 171.4619022492.

The spelling of 5040840 in words is "five million, forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 353 357 408 420 476 510 595 680 706 714 840 952 1020 1059 1190 1412 1428 1765 1785 2040 2118 2380 2471 2824 2856 3530 3570 4236 4760 4942 5295 6001 7060 7140 7413 8472 9884 10590 12002 12355 14120 14280 14826 18003 19768 21180 24004 24710 29652 30005 36006 37065 42007 42360 48008 49420 59304 60010 72012 74130 84014 90015 98840 120020 126021 144024 148260 168028 180030 210035 240040 252042 296520 336056 360060 420070 504084 630105 720120 840140 1008168 1260210 1680280 2520420 5040840