Search a number
-
+
19830042 = 2331572339
BaseRepresentation
bin100101110100…
…1010100011010
31101022110201000
41023221110122
520034030132
61545005430
7330360351
oct113512432
941273630
1019830042
1110214671
126783876
134153c6b
1428c2998
151b1a87c
hex12e951a

19830042 has 32 divisors (see below), whose sum is σ = 44366400. Its totient is φ = 6565104.

The previous prime is 19830023. The next prime is 19830047. The reversal of 19830042 is 24003891.

19830042 is nontrivially palindromic in base 12.

It is a super-3 number, since 3×198300423 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 19829988 and 19830015.

It is not an unprimeable number, because it can be changed into a prime (19830047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7309 + ... + 9647.

It is an arithmetic number, because the mean of its divisors is an integer number (1386450).

Almost surely, 219830042 is an apocalyptic number.

19830042 is an abundant number, since it is smaller than the sum of its proper divisors (24536358).

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

19830042 is a wasteful number, since it uses less digits than its factorization.

19830042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19830042 is about 4453.0935314678. The cubic root of 19830042 is about 270.6706783387.

Subtracting 19830042 from its reverse (24003891), we obtain a square (4173849 = 20432).

The spelling of 19830042 in words is "nineteen million, eight hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 157 314 471 942 1413 2339 2826 4239 4678 7017 8478 14034 21051 42102 63153 126306 367223 734446 1101669 2203338 3305007 6610014 9915021 19830042