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5109312 = 263132389
BaseRepresentation
bin10011011111011001000000
3100121120122210
4103133121000
52301444222
6301302120
761266645
oct23373100
910546583
105109312
11297a77a
121864940
13109b780
1496ddcc
156add0c
hex4df640

5109312 has 112 divisors (see below), whose sum is σ = 15361920. Its totient is φ = 1486848.

The previous prime is 5109311. The next prime is 5109317. The reversal of 5109312 is 2139015.

It is a super-2 number, since 2×51093122 = 52210138226688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5109311) 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, 57364 + ... + 57452.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

Almost surely, 25109312 is an apocalyptic number.

5109312 is a gapful number since it is divisible by the number (52) 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 5109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960).

5109312 is an abundant number, since it is smaller than the sum of its proper divisors (10252608).

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

5109312 is a wasteful number, since it uses less digits than its factorization.

5109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 5109312 is about 2260.3787293283. The cubic root of 5109312 is about 172.2347614565.

The spelling of 5109312 in words is "five million, one hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 89 92 96 104 138 156 178 184 192 208 267 276 299 312 356 368 416 534 552 598 624 712 736 832 897 1068 1104 1157 1196 1248 1424 1472 1794 2047 2136 2208 2314 2392 2496 2848 3471 3588 4094 4272 4416 4628 4784 5696 6141 6942 7176 8188 8544 9256 9568 12282 13884 14352 16376 17088 18512 19136 24564 26611 27768 28704 32752 37024 49128 53222 55536 57408 65504 74048 79833 98256 106444 111072 131008 159666 196512 212888 222144 319332 393024 425776 638664 851552 1277328 1703104 2554656 5109312