Search a number
-
+
20989395 = 3357219167
BaseRepresentation
bin101000000010…
…0010111010011
31110111101001000
41100010113103
520333130040
62025513043
7343256400
oct120042723
943441030
1020989395
1110936709
127042783
13446b87b
142b052a7
151c99130
hex14045d3

20989395 has 96 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 9035712.

The previous prime is 20989393. The next prime is 20989421. The reversal of 20989395 is 59398902.

It is not a de Polignac number, because 20989395 - 21 = 20989393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20989395.

It is not an unprimeable number, because it can be changed into a prime (20989391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125602 + ... + 125768.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 220989395 is an apocalyptic number.

20989395 is an abundant number, since it is smaller than the sum of its proper divisors (24975405).

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

20989395 is a wasteful number, since it uses less digits than its factorization.

20989395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 20989395 is about 4581.4184484720. The cubic root of 20989395 is about 275.8459679279.

The spelling of 20989395 in words is "twenty million, nine hundred eighty-nine thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 49 57 63 95 105 133 135 147 167 171 189 245 285 315 399 441 501 513 665 735 835 855 931 945 1169 1197 1323 1503 1995 2205 2505 2565 2793 3173 3507 3591 4509 4655 5845 5985 6615 7515 8183 8379 9519 10521 13965 15865 17535 17955 22211 22545 24549 25137 28557 31563 40915 41895 47595 52605 66633 73647 85671 111055 122745 125685 142785 155477 157815 199899 220941 333165 368235 428355 466431 599697 777385 999495 1104705 1399293 2332155 2998485 4197879 6996465 20989395