Search a number
-
+
19309914 = 2341353173
BaseRepresentation
bin100100110101…
…0010101011010
31100100001020000
41021222111122
514420404124
61525513430
7323063061
oct111522532
940301200
1019309914
11a999908
126572876
1340012b0
1427c91d8
151a666c9
hex126a55a

19309914 has 80 divisors (see below), whose sum is σ = 47750472. Its totient is φ = 5795712.

The previous prime is 19309889. The next prime is 19309919. The reversal of 19309914 is 41990391.

It can be written as a sum of positive squares in 4 ways, for example, as 18275625 + 1034289 = 4275^2 + 1017^2 .

It is not an unprimeable number, because it can be changed into a prime (19309919) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111532 + ... + 111704.

Almost surely, 219309914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19309914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23875236).

19309914 is an abundant number, since it is smaller than the sum of its proper divisors (28440558).

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

19309914 is a wasteful number, since it uses less digits than its factorization.

19309914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 19309914 is about 4394.3047231616. The cubic root of 19309914 is about 268.2831806615.

The spelling of 19309914 in words is "nineteen million, three hundred nine thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 81 106 117 159 162 173 234 318 346 351 477 519 689 702 954 1038 1053 1378 1431 1557 2067 2106 2249 2862 3114 4134 4293 4498 4671 6201 6747 8586 9169 9342 12402 13494 14013 18338 18603 20241 27507 28026 37206 40482 55014 55809 60723 82521 111618 119197 121446 165042 182169 238394 247563 357591 364338 495126 715182 742689 1072773 1485378 2145546 3218319 6436638 9654957 19309914