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10203900 = 22352743113
BaseRepresentation
bin100110111011…
…001011111100
3201012102010020
4212323023330
510103011100
61002412140
7152505660
oct46731374
921172106
1010203900
11583a383
123501050
132163615
1414d88a0
15d685a0
hex9bb2fc

10203900 has 144 divisors (see below), whose sum is σ = 34831104. Its totient is φ = 2257920.

The previous prime is 10203889. The next prime is 10203979. The reversal of 10203900 is 930201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10203900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90244 + ... + 90356.

Almost surely, 210203900 is an apocalyptic number.

10203900 is a gapful number since it is divisible by the number (10) 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 10203900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17415552).

10203900 is an abundant number, since it is smaller than the sum of its proper divisors (24627204).

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

10203900 is a wasteful number, since it uses less digits than its factorization.

10203900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 10203900 is about 3194.3543948660. The cubic root of 10203900 is about 216.8979253339.

The spelling of 10203900 in words is "ten million, two hundred three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 113 129 140 150 172 175 210 215 226 258 300 301 339 350 420 430 452 516 525 565 602 645 678 700 791 860 903 1050 1075 1130 1204 1290 1356 1505 1582 1695 1806 2100 2150 2260 2373 2580 2825 3010 3164 3225 3390 3612 3955 4300 4515 4746 4859 5650 6020 6450 6780 7525 7910 8475 9030 9492 9718 11300 11865 12900 14577 15050 15820 16950 18060 19436 19775 22575 23730 24295 29154 30100 33900 34013 39550 45150 47460 48590 58308 59325 68026 72885 79100 90300 97180 102039 118650 121475 136052 145770 170065 204078 237300 242950 291540 340130 364425 408156 485900 510195 680260 728850 850325 1020390 1457700 1700650 2040780 2550975 3401300 5101950 10203900