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5108600 = 235274189
BaseRepresentation
bin10011011111001101111000
3100121112200102
4103133031320
52301433400
6301254532
761264610
oct23371570
910545612
105108600
11297a192
121864448
13109b353
1496da40
156ad9d5
hex4df378

5108600 has 96 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1689600.

The previous prime is 5108591. The next prime is 5108639. The reversal of 5108600 is 68015.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57356 + ... + 57444.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

Almost surely, 25108600 is an apocalyptic number.

5108600 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 5108600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

5108600 is an abundant number, since it is smaller than the sum of its proper divisors (8953000).

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

5108600 is a wasteful number, since it uses less digits than its factorization.

5108600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 5108600 is about 2260.2212281102. The cubic root of 5108600 is about 172.2267605849.

The spelling of 5108600 in words is "five million, one hundred eight thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 89 100 140 164 175 178 200 205 280 287 328 350 356 410 445 574 623 700 712 820 890 1025 1148 1246 1400 1435 1640 1780 2050 2225 2296 2492 2870 3115 3560 3649 4100 4450 4984 5740 6230 7175 7298 8200 8900 11480 12460 14350 14596 15575 17800 18245 24920 25543 28700 29192 31150 36490 51086 57400 62300 72980 91225 102172 124600 127715 145960 182450 204344 255430 364900 510860 638575 729800 1021720 1277150 2554300 5108600