Search a number
-
+
19083141 = 3371167137
BaseRepresentation
bin100100011001…
…0111110000101
31022220112011000
41020302332011
514341130031
61521003513
7321126660
oct110627605
938815130
1019083141
11a8544a0
126483599
133c51ccc
14276a6d7
151a1e3e6
hex1232f85

19083141 has 64 divisors (see below), whose sum is σ = 36034560. Its totient is φ = 9694080.

The previous prime is 19083133. The next prime is 19083187. The reversal of 19083141 is 14138091.

It is not a de Polignac number, because 19083141 - 23 = 19083133 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19083191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139225 + ... + 139361.

It is an arithmetic number, because the mean of its divisors is an integer number (563040).

Almost surely, 219083141 is an apocalyptic number.

19083141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

19083141 is a deficient number, since it is larger than the sum of its proper divisors (16951419).

19083141 is a wasteful number, since it uses less digits than its factorization.

19083141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 19083141 is about 4368.4254600485. The cubic root of 19083141 is about 267.2288153408.

The spelling of 19083141 in words is "nineteen million, eighty-three thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 67 77 99 137 189 201 231 297 411 469 603 693 737 959 1233 1407 1507 1809 2079 2211 2877 3699 4221 4521 5159 6633 8631 9179 10549 12663 13563 15477 19899 25893 27537 31647 40689 46431 64253 82611 94941 100969 139293 192759 247833 284823 302907 578277 706783 908721 1734831 2120349 2726163 6361047 19083141