Search a number
-
+
19993581 = 3317431013
BaseRepresentation
bin100110001000…
…1001111101101
31101121210001000
41030101033231
520104243311
61552310513
7331641216
oct114211755
941553030
1019993581
1110316523
126842439
1341b052a
14292640d
151b4e056
hex13113ed

19993581 has 32 divisors (see below), whose sum is σ = 32123520. Its totient is φ = 12241152.

The previous prime is 19993577. The next prime is 19993607. The reversal of 19993581 is 18539991.

It is not a de Polignac number, because 19993581 - 22 = 19993577 is a prime.

It is a super-2 number, since 2×199935812 = 799486562407122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19993531) 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 31 ways as a sum of consecutive naturals, for example, 19231 + ... + 20243.

It is an arithmetic number, because the mean of its divisors is an integer number (1003860).

Almost surely, 219993581 is an apocalyptic number.

It is an amenable number.

19993581 is a deficient number, since it is larger than the sum of its proper divisors (12129939).

19993581 is a wasteful number, since it uses less digits than its factorization.

19993581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its digits is 87480, while the sum is 45.

The square root of 19993581 is about 4471.4182313892. The cubic root of 19993581 is about 271.4127188077.

The spelling of 19993581 in words is "nineteen million, nine hundred ninety-three thousand, five hundred eighty-one".

Divisors: 1 3 9 17 27 43 51 129 153 387 459 731 1013 1161 2193 3039 6579 9117 17221 19737 27351 43559 51663 130677 154989 392031 464967 740503 1176093 2221509 6664527 19993581