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5081300 = 2252721761
BaseRepresentation
bin10011011000100011010100
3100120011020022
4103120203110
52300100200
6300524312
761122200
oct23304324
910504208
105081300
112960724
121850698
13108bab3
14963b00
156a5885
hex4d88d4

5081300 has 108 divisors (see below), whose sum is σ = 13803804. Its totient is φ = 1612800.

The previous prime is 5081291. The next prime is 5081339. The reversal of 5081300 is 31805.

5081300 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 6 ways, for example, as 432964 + 4648336 = 658^2 + 2156^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83270 + ... + 83330.

It is an arithmetic number, because the mean of its divisors is an integer number (127813).

Almost surely, 25081300 is an apocalyptic number.

5081300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5081300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901902).

5081300 is an abundant number, since it is smaller than the sum of its proper divisors (8722504).

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

5081300 is a wasteful number, since it uses less digits than its factorization.

5081300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 5081300 is about 2254.1739063346. The cubic root of 5081300 is about 171.9194232280.

The spelling of 5081300 in words is "five million, eighty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 49 50 61 68 70 85 98 100 119 122 140 170 175 196 238 244 245 305 340 350 425 427 476 490 595 610 700 833 850 854 980 1037 1190 1220 1225 1525 1666 1700 1708 2074 2135 2380 2450 2975 2989 3050 3332 4148 4165 4270 4900 5185 5950 5978 6100 7259 8330 8540 10370 10675 11900 11956 14518 14945 16660 20740 20825 21350 25925 29036 29890 36295 41650 42700 50813 51850 59780 72590 74725 83300 101626 103700 145180 149450 181475 203252 254065 298900 362950 508130 725900 1016260 1270325 2540650 5081300