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19938961 = 719197761
BaseRepresentation
bin100110000001…
…1111010010001
31101112000010001
41030003322101
520101021321
61551210001
7331323040
oct114037221
941460101
1019938961
1110289489
126816901
134191703
142910557
151b3cc91
hex1303e91

19938961 has 16 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 16087680.

The previous prime is 19938949. The next prime is 19939013. The reversal of 19938961 is 16983991.

It is not a de Polignac number, because 19938961 - 213 = 19930769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19938901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25821 + ... + 26581.

It is an arithmetic number, because the mean of its divisors is an integer number (1508760).

Almost surely, 219938961 is an apocalyptic number.

It is an amenable number.

19938961 is a deficient number, since it is larger than the sum of its proper divisors (4201199).

19938961 is a wasteful number, since it uses less digits than its factorization.

19938961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984.

The product of its digits is 104976, while the sum is 46.

The square root of 19938961 is about 4465.3063724676. The cubic root of 19938961 is about 271.1653380299.

The spelling of 19938961 in words is "nineteen million, nine hundred thirty-eight thousand, nine hundred sixty-one".

Divisors: 1 7 19 133 197 761 1379 3743 5327 14459 26201 101213 149917 1049419 2848423 19938961