Search a number
-
+
20963670 = 23572131097
BaseRepresentation
bin100111111111…
…0000101010110
31110110001202020
41033332011112
520331314140
62025154010
7343121400
oct117760526
943401666
1020963670
1110919352
12702b906
13445cc50
142ad9b70
151c916d0
hex13fe156

20963670 has 96 divisors (see below), whose sum is σ = 63086688. Its totient is φ = 4419072.

The previous prime is 20963659. The next prime is 20963671. The reversal of 20963670 is 7636902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20963671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18562 + ... + 19658.

It is an arithmetic number, because the mean of its divisors is an integer number (657153).

Almost surely, 220963670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20963670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31543344).

20963670 is an abundant number, since it is smaller than the sum of its proper divisors (42123018).

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

20963670 is a wasteful number, since it uses less digits than its factorization.

20963670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 20963670 is about 4578.6100510963. The cubic root of 20963670 is about 275.7332278425.

The spelling of 20963670 in words is "twenty million, nine hundred sixty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1097 1274 1365 1470 1911 2194 2730 3185 3291 3822 5485 6370 6582 7679 9555 10970 14261 15358 16455 19110 23037 28522 32910 38395 42783 46074 53753 71305 76790 85566 99827 107506 115185 142610 161259 199654 213915 230370 268765 299481 322518 427830 499135 537530 598962 698789 806295 998270 1397578 1497405 1612590 2096367 2994810 3493945 4192734 6987890 10481835 20963670