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19963980 = 22325197563
BaseRepresentation
bin100110000101…
…0000001001100
31101120021102200
41030022001030
520102321410
61551521500
7331456011
oct114120114
941507380
1019963980
11102a6263
126829290
13419cc0a
142919708
151b453c0
hex130a04c

19963980 has 72 divisors (see below), whose sum is σ = 60972912. Its totient is φ = 5287296.

The previous prime is 19963973. The next prime is 19963981. The reversal of 19963980 is 8936991.

19963980 is a `hidden beast` number, since 1 + 9 + 9 + 639 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (19963981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35179 + ... + 35741.

It is an arithmetic number, because the mean of its divisors is an integer number (846846).

Almost surely, 219963980 is an apocalyptic number.

19963980 is a gapful number since it is divisible by the number (10) 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 19963980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30486456).

19963980 is an abundant number, since it is smaller than the sum of its proper divisors (41008932).

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

19963980 is a wasteful number, since it uses less digits than its factorization.

19963980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 19963980 is about 4468.1069817094. The cubic root of 19963980 is about 271.2787081963.

The spelling of 19963980 in words is "nineteen million, nine hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 563 591 788 985 1126 1182 1689 1773 1970 2252 2364 2815 2955 3378 3546 3940 5067 5630 5910 6756 7092 8445 8865 10134 11260 11820 16890 17730 20268 25335 33780 35460 50670 101340 110911 221822 332733 443644 554555 665466 998199 1109110 1330932 1663665 1996398 2218220 3327330 3992796 4990995 6654660 9981990 19963980