Search a number
-
+
20707830 = 232511131609
BaseRepresentation
bin100111011111…
…1100111110110
31102222001210200
41032333213312
520300122310
62015501330
7341004453
oct116774766
942861720
1020707830
1110764110
126b27846
1343a0670
142a7082a
151c409c0
hex13bf9f6

20707830 has 96 divisors (see below), whose sum is σ = 63292320. Its totient is φ = 4631040.

The previous prime is 20707807. The next prime is 20707847. The reversal of 20707830 is 3870702.

20707830 is a nontrivial binomial coefficient, being equal to C(6436, 2).

It is a junction number, because it is equal to n+sod(n) for n = 20707794 and 20707803.

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, 12066 + ... + 13674.

It is an arithmetic number, because the mean of its divisors is an integer number (659295).

Almost surely, 220707830 is an apocalyptic number.

20707830 is the 6435-th triangular number and also the 3218-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20707830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31646160).

20707830 is an abundant number, since it is smaller than the sum of its proper divisors (42584490).

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

20707830 is a wasteful number, since it uses less digits than its factorization.

20707830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 20707830 is about 4550.5856765915. The cubic root of 20707830 is about 274.6069536540.

The spelling of 20707830 in words is "twenty million, seven hundred seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 1609 2145 2574 3218 4290 4827 6435 8045 9654 12870 14481 16090 17699 20917 24135 28962 35398 41834 48270 53097 62751 72405 88495 104585 106194 125502 144810 159291 176990 188253 209170 230087 265485 313755 318582 376506 460174 530970 627510 690261 796455 941265 1150435 1380522 1592910 1882530 2070783 2300870 3451305 4141566 6902610 10353915 20707830