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20969300 = 22521121733
BaseRepresentation
bin100111111111…
…1011101010100
31110110100110202
41033333131110
520332004200
62025240032
7343143662
oct117773524
943410422
1020969300
1110922600
127033018
134462691
142adbc32
151c931d5
hex13ff754

20969300 has 54 divisors (see below), whose sum is σ = 50044974. Its totient is φ = 7620800.

The previous prime is 20969281. The next prime is 20969303. The reversal of 20969300 is 396902.

It can be written as a sum of positive squares in 3 ways, for example, as 1024144 + 19945156 = 1012^2 + 4466^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20969303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11234 + ... + 12966.

Almost surely, 220969300 is an apocalyptic number.

20969300 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 20969300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25022487).

20969300 is an abundant number, since it is smaller than the sum of its proper divisors (29075674).

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

20969300 is a wasteful number, since it uses less digits than its factorization.

20969300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 20969300 is about 4579.2248252297. The cubic root of 20969300 is about 275.7579092576.

The spelling of 20969300 in words is "twenty million, nine hundred sixty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1733 2420 3025 3466 6050 6932 8665 12100 17330 19063 34660 38126 43325 76252 86650 95315 173300 190630 209693 381260 419386 476575 838772 953150 1048465 1906300 2096930 4193860 5242325 10484650 20969300