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19979946 = 23572839
BaseRepresentation
bin100110000110…
…1111010101010
31101121002100000
41030031322222
520103324241
61552123430
7331553400
oct114157252
941532300
1019979946
1110307258
126836576
1341a726c
142921470
151b49eb6
hex130deaa

19979946 has 72 divisors (see below), whose sum is σ = 52284960. Its totient is φ = 5701752.

The previous prime is 19979941. The next prime is 19979959. The reversal of 19979946 is 64997991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19979892 and 19979901.

It is not an unprimeable number, because it can be changed into a prime (19979941) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 23395 + ... + 24233.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 219979946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19979946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142480).

19979946 is an abundant number, since it is smaller than the sum of its proper divisors (32305014).

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

19979946 is an equidigital number, since it uses as much as digits as its factorization.

19979946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 851 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 54.

The square root of 19979946 is about 4469.8932873168. The cubic root of 19979946 is about 271.3510064345.

The spelling of 19979946 in words is "nineteen million, nine hundred seventy-nine thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 839 882 1134 1323 1678 1701 2517 2646 3402 3969 5034 5873 7551 7938 11746 11907 15102 17619 22653 23814 35238 41111 45306 52857 67959 82222 105714 123333 135918 158571 203877 246666 317142 369999 407754 475713 739998 951426 1109997 1427139 2219994 2854278 3329991 6659982 9989973 19979946