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5103900 = 22325253107
BaseRepresentation
bin10011011110000100011100
3100121022020100
4103132010130
52301311100
6301221100
761245114
oct23360434
910538210
105103900
1129766aa
121861790
131099179
1496c044
156ac400
hex4de11c

5103900 has 108 divisors (see below), whose sum is σ = 16452072. Its totient is φ = 1322880.

The previous prime is 5103887. The next prime is 5103929. The reversal of 5103900 is 93015.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 47647 + ... + 47753.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 25103900 is an apocalyptic number.

5103900 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 5103900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226036).

5103900 is an abundant number, since it is smaller than the sum of its proper divisors (11348172).

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

5103900 is a wasteful number, since it uses less digits than its factorization.

5103900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 5103900 is about 2259.1812676277. The cubic root of 5103900 is about 172.1739271836.

Adding to 5103900 its reverse (93015), we get a palindrome (5196915).

The spelling of 5103900 in words is "five million, one hundred three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 107 150 159 180 212 214 225 265 300 318 321 428 450 477 530 535 636 642 795 900 954 963 1060 1070 1284 1325 1590 1605 1908 1926 2140 2385 2650 2675 3180 3210 3852 3975 4770 4815 5300 5350 5671 6420 7950 8025 9540 9630 10700 11342 11925 15900 16050 17013 19260 22684 23850 24075 28355 32100 34026 47700 48150 51039 56710 68052 85065 96300 102078 113420 141775 170130 204156 255195 283550 340260 425325 510390 567100 850650 1020780 1275975 1701300 2551950 5103900