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20803300 = 22527113263
BaseRepresentation
bin100111101011…
…0111011100100
31110010220202121
41033112323210
520311201200
62021515324
7341553010
oct117267344
943126677
1020803300
1110819911
126b72b44
134404c5b
142a97540
151c5de1a
hex13d6ee4

20803300 has 72 divisors (see below), whose sum is σ = 52246656. Its totient is φ = 7042560.

The previous prime is 20803297. The next prime is 20803301. The reversal of 20803300 is 330802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20803301) 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, 78969 + ... + 79231.

It is an arithmetic number, because the mean of its divisors is an integer number (725648).

Almost surely, 220803300 is an apocalyptic number.

20803300 is a gapful number since it is divisible by the number (20) 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 20803300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26123328).

20803300 is an abundant number, since it is smaller than the sum of its proper divisors (31443356).

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

20803300 is a wasteful number, since it uses less digits than its factorization.

20803300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20803300 is about 4561.0634724810. The cubic root of 20803300 is about 275.0283166434.

The spelling of 20803300 in words is "twenty million, eight hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 113 140 175 226 263 350 452 526 565 700 791 1052 1130 1315 1582 1841 2260 2630 2825 3164 3682 3955 5260 5650 6575 7364 7910 9205 11300 13150 15820 18410 19775 26300 29719 36820 39550 46025 59438 79100 92050 118876 148595 184100 208033 297190 416066 594380 742975 832132 1040165 1485950 2080330 2971900 4160660 5200825 10401650 20803300