Search a number
-
+
20313300 = 22352717569
BaseRepresentation
bin100110101111…
…1010011010100
31102020000121110
41031133103110
520200011200
62003215020
7334442310
oct115372324
942200543
1020313300
1110514757
126977470
134292c07
1429aab40
151bb3b50
hex135f4d4

20313300 has 144 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 4362240.

The previous prime is 20313281. The next prime is 20313343. The reversal of 20313300 is 331302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 35416 + ... + 35984.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 220313300 is an apocalyptic number.

20313300 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 20313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

20313300 is an abundant number, since it is smaller than the sum of its proper divisors (50932140).

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

20313300 is a wasteful number, since it uses less digits than its factorization.

20313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 20313300 is about 4507.0278454875. The cubic root of 20313300 is about 272.8518027257.

Adding to 20313300 its reverse (331302), we get a palindrome (20644602).

The spelling of 20313300 in words is "twenty million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 569 595 700 714 850 1020 1050 1138 1190 1275 1428 1700 1707 1785 2100 2276 2380 2550 2845 2975 3414 3570 3983 5100 5690 5950 6828 7140 7966 8535 8925 9673 11380 11900 11949 14225 15932 17070 17850 19346 19915 23898 28450 29019 34140 35700 38692 39830 42675 47796 48365 56900 58038 59745 67711 79660 85350 96730 99575 116076 119490 135422 145095 170700 193460 199150 203133 238980 241825 270844 290190 298725 338555 398300 406266 483650 580380 597450 677110 725475 812532 967300 1015665 1194900 1354220 1450950 1692775 2031330 2901900 3385550 4062660 5078325 6771100 10156650 20313300