Search a number
-
+
19410138 = 2331141797
BaseRepresentation
bin100101000001…
…0110011011010
31100112010201000
41022002303122
514432111023
61532005430
7323661216
oct112026332
940463630
1019410138
11aa58140
126600876
134037ab7
142813946
151a86243
hex1282cda

19410138 has 64 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 5731200.

The previous prime is 19410119. The next prime is 19410151. The reversal of 19410138 is 83101491.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23956 + ... + 24752.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 219410138 is an apocalyptic number.

19410138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19410138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

19410138 is an abundant number, since it is smaller than the sum of its proper divisors (28852902).

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

19410138 is a wasteful number, since it uses less digits than its factorization.

19410138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

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

The square root of 19410138 is about 4405.6938159613. The cubic root of 19410138 is about 268.7465355241.

The spelling of 19410138 in words is "nineteen million, four hundred ten thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 369 451 594 738 797 902 1107 1353 1594 2214 2391 2706 4059 4782 7173 8118 8767 12177 14346 17534 21519 24354 26301 32677 43038 52602 65354 78903 98031 157806 196062 236709 294093 359447 473418 588186 718894 882279 1078341 1764558 2156682 3235023 6470046 9705069 19410138