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20962000 = 245347223
BaseRepresentation
bin100111111110…
…1101011010000
31110102222110101
41033331223100
520331241000
62025142144
7343113463
oct117755320
943388411
1020962000
1110918074
12702a954
13445c267
142ad92da
151c90e6a
hex13fdad0

20962000 has 80 divisors (see below), whose sum is σ = 51996672. Its totient is φ = 8169600.

The previous prime is 20961961. The next prime is 20962013. The reversal of 20962000 is 26902.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93889 + ... + 94111.

Almost surely, 220962000 is an apocalyptic number.

20962000 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 20962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998336).

20962000 is an abundant number, since it is smaller than the sum of its proper divisors (31034672).

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

20962000 is a wasteful number, since it uses less digits than its factorization.

20962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 20962000 is about 4578.4276777077. The cubic root of 20962000 is about 275.7259058625.

Adding to 20962000 its reverse (26902), we get a palindrome (20988902).

It can be divided in two parts, 2096 and 2000, that added together give a 12-th power (4096 = 212).

The spelling of 20962000 in words is "twenty million, nine hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 223 235 250 376 400 446 470 500 752 892 940 1000 1115 1175 1784 1880 2000 2230 2350 3568 3760 4460 4700 5575 5875 8920 9400 10481 11150 11750 17840 18800 20962 22300 23500 27875 41924 44600 47000 52405 55750 83848 89200 94000 104810 111500 167696 209620 223000 262025 419240 446000 524050 838480 1048100 1310125 2096200 2620250 4192400 5240500 10481000 20962000