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19941642 = 23271011567
BaseRepresentation
bin100110000010…
…0100100001010
31101112010210100
41030010210022
520101113032
61551230230
7331333620
oct114044412
941463710
1019941642
11102904a6
126818376
1341929b6
142911510
151b3d97c
hex130490a

19941642 has 48 divisors (see below), whose sum is σ = 49900032. Its totient is φ = 5637600.

The previous prime is 19941641. The next prime is 19941643. The reversal of 19941642 is 24614991.

It is a happy number.

19941642 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 1 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (19941641) and next prime (19941643).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19941597 and 19941606.

It is not an unprimeable number, because it can be changed into a prime (19941641) 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, 11943 + ... + 13509.

It is an arithmetic number, because the mean of its divisors is an integer number (1039584).

Almost surely, 219941642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19941642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24950016).

19941642 is an abundant number, since it is smaller than the sum of its proper divisors (29958390).

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

19941642 is a wasteful number, since it uses less digits than its factorization.

19941642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1680 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 19941642 is about 4465.6065657422. The cubic root of 19941642 is about 271.1774911488.

The spelling of 19941642 in words is "nineteen million, nine hundred forty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1567 1818 2121 3134 4242 4701 6363 9402 10969 12726 14103 21938 28206 32907 65814 98721 158267 197442 316534 474801 949602 1107869 1424403 2215738 2848806 3323607 6647214 9970821 19941642