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19968980 = 2251496701
BaseRepresentation
bin100110000101…
…1001111010100
31101120112021212
41030023033110
520103001410
61552000552
7331506413
oct114131724
941515255
1019968980
11102a9a99
126830158
1341a2285
14291b47a
151b46b05
hex130b3d4

19968980 has 24 divisors (see below), whose sum is σ = 42222600. Its totient is φ = 7932800.

The previous prime is 19968973. The next prime is 19968989. The reversal of 19968980 is 8986991.

It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 19909444 = 244^2 + 4462^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19968989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371 + ... + 6330.

It is an arithmetic number, because the mean of its divisors is an integer number (1759275).

Almost surely, 219968980 is an apocalyptic number.

19968980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19968980 is an abundant number, since it is smaller than the sum of its proper divisors (22253620).

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

19968980 is a wasteful number, since it uses less digits than its factorization.

19968980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 50.

The square root of 19968980 is about 4468.6664677508. Note that the first 3 decimals coincide. The cubic root of 19968980 is about 271.3013536527.

The spelling of 19968980 in words is "nineteen million, nine hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 6701 13402 26804 33505 67010 134020 998449 1996898 3993796 4992245 9984490 19968980