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19973982 = 2372322931
BaseRepresentation
bin100110000110…
…0011101011110
31101120210011010
41030030131132
520103131412
61552040050
7331530120
oct114143536
941523133
1019973982
1110302826
126833026
1341a4632
14291d210
151b4833c
hex130c75e

19973982 has 96 divisors (see below), whose sum is σ = 50964480. Its totient is φ = 5100480.

The previous prime is 19973977. The next prime is 19974001. The reversal of 19973982 is 28937991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644307 + ... + 644337.

It is an arithmetic number, because the mean of its divisors is an integer number (530880).

Almost surely, 219973982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19973982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25482240).

19973982 is an abundant number, since it is smaller than the sum of its proper divisors (30990498).

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

19973982 is a wasteful number, since it uses less digits than its factorization.

19973982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its digits is 244944, while the sum is 48.

The square root of 19973982 is about 4469.2261075045. The cubic root of 19973982 is about 271.3240043853.

The spelling of 19973982 in words is "nineteen million, nine hundred seventy-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 23 29 31 42 46 58 62 69 87 93 138 161 174 186 203 217 322 406 434 483 529 609 651 667 713 899 966 1058 1218 1302 1334 1426 1587 1798 2001 2139 2697 3174 3703 4002 4278 4669 4991 5394 6293 7406 9338 9982 11109 12586 14007 14973 15341 16399 18879 20677 22218 28014 29946 30682 32798 37758 41354 46023 49197 62031 92046 98394 107387 114793 124062 144739 214774 229586 289478 322161 344379 434217 475571 644322 688758 868434 951142 1426713 2853426 3328997 6657994 9986991 19973982