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5058760 = 235722989
BaseRepresentation
bin10011010011000011001000
3100112000022111
4103103003020
52243340020
6300232104
760666400
oct23230310
910460274
105058760
1129457a3
12183b634
131081765
14959800
1569dd5a
hex4d30c8

5058760 has 96 divisors (see below), whose sum is σ = 13851000. Its totient is φ = 1655808.

The previous prime is 5058749. The next prime is 5058761. The reversal of 5058760 is 678505.

It can be written as a sum of positive squares in 4 ways, for example, as 3363556 + 1695204 = 1834^2 + 1302^2 .

It is not an unprimeable number, because it can be changed into a prime (5058761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56796 + ... + 56884.

Almost surely, 25058760 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 5058760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925500).

5058760 is an abundant number, since it is smaller than the sum of its proper divisors (8792240).

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

5058760 is a wasteful number, since it uses less digits than its factorization.

5058760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 5058760 is about 2249.1687353331. The cubic root of 5058760 is about 171.6648422005.

The spelling of 5058760 in words is "five million, fifty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 89 98 116 140 145 178 196 203 232 245 280 290 356 392 406 445 490 580 623 712 812 890 980 1015 1160 1246 1421 1624 1780 1960 2030 2492 2581 2842 3115 3560 4060 4361 4984 5162 5684 6230 7105 8120 8722 10324 11368 12460 12905 14210 17444 18067 20648 21805 24920 25810 28420 34888 36134 43610 51620 56840 72268 87220 90335 103240 126469 144536 174440 180670 252938 361340 505876 632345 722680 1011752 1264690 2529380 5058760