Search a number
-
+
20313630 = 23252943181
BaseRepresentation
bin100110101111…
…1011000011110
31102020001001200
41031133120132
520200014010
62003220330
7334443261
oct115373036
942201050
1020313630
1110514a27
1269776a6
1342930cc
1429aacd8
151bb3cc0
hex135f61e

20313630 has 96 divisors (see below), whose sum is σ = 56216160. Its totient is φ = 5080320.

The previous prime is 20313619. The next prime is 20313647. The reversal of 20313630 is 3631302.

It is a happy number.

20313630 is a `hidden beast` number, since 2 + 0 + 31 + 3 + 630 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112140 + ... + 112320.

It is an arithmetic number, because the mean of its divisors is an integer number (585585).

Almost surely, 220313630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20313630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28108080).

20313630 is an abundant number, since it is smaller than the sum of its proper divisors (35902530).

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

20313630 is a wasteful number, since it uses less digits than its factorization.

20313630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 20313630 is about 4507.0644548309. The cubic root of 20313630 is about 272.8532802569.

Adding to 20313630 its reverse (3631302), we get a palindrome (23944932).

The spelling of 20313630 in words is "twenty million, three hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 43 45 58 86 87 90 129 145 174 181 215 258 261 290 362 387 430 435 522 543 645 774 870 905 1086 1247 1290 1305 1629 1810 1935 2494 2610 2715 3258 3741 3870 5249 5430 6235 7482 7783 8145 10498 11223 12470 15566 15747 16290 18705 22446 23349 26245 31494 37410 38915 46698 47241 52490 56115 70047 77830 78735 94482 112230 116745 140094 157470 225707 233490 236205 350235 451414 472410 677121 700470 1128535 1354242 2031363 2257070 3385605 4062726 6771210 10156815 20313630