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5085920 = 255719239
BaseRepresentation
bin10011011001101011100000
3100120101120102
4103121223200
52300222140
6301001532
761141520
oct23315340
910511512
105085920
112964144
1218532a8
131090c28
14965680
156a6e15
hex4d9ae0

5085920 has 96 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1645056.

The previous prime is 5085893. The next prime is 5085929. The reversal of 5085920 is 295805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5085929) 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 15 ways as a sum of consecutive naturals, for example, 21161 + ... + 21399.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 25085920 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 5085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

5085920 is an abundant number, since it is smaller than the sum of its proper divisors (9429280).

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

5085920 is a wasteful number, since it uses less digits than its factorization.

5085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 5085920 is about 2255.1984391623. The cubic root of 5085920 is about 171.9715114165.

The spelling of 5085920 in words is "five million, eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 239 266 280 304 380 478 532 560 608 665 760 956 1064 1120 1195 1330 1520 1673 1912 2128 2390 2660 3040 3346 3824 4256 4541 4780 5320 6692 7648 8365 9082 9560 10640 13384 16730 18164 19120 21280 22705 26768 31787 33460 36328 38240 45410 53536 63574 66920 72656 90820 127148 133840 145312 158935 181640 254296 267680 317870 363280 508592 635740 726560 1017184 1271480 2542960 5085920