Search a number
-
+
19098640 = 2451121973
BaseRepresentation
bin100100011011…
…0110000010000
31022221022102001
41020312300100
514342124030
61521203344
7321223111
oct110666020
938838361
1019098640
11a865100
126490554
133c59092
142772208
151a23cca
hex1236c10

19098640 has 60 divisors (see below), whose sum is σ = 48832812. Its totient is φ = 6941440.

The previous prime is 19098637. The next prime is 19098643. The reversal of 19098640 is 4689091.

It is an interprime number because it is at equal distance from previous prime (19098637) and next prime (19098643).

It can be written as a sum of positive squares in 2 ways, for example, as 5438224 + 13660416 = 2332^2 + 3696^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 19098640.

It is not an unprimeable number, because it can be changed into a prime (19098643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8694 + ... + 10666.

Almost surely, 219098640 is an apocalyptic number.

19098640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24416406).

19098640 is an abundant number, since it is smaller than the sum of its proper divisors (29734172).

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

19098640 is a wasteful number, since it uses less digits than its factorization.

19098640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 19098640 is about 4370.1990801335. The cubic root of 19098640 is about 267.3011419845.

The spelling of 19098640 in words is "nineteen million, ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 1973 2420 3946 4840 7892 9680 9865 15784 19730 21703 31568 39460 43406 78920 86812 108515 157840 173624 217030 238733 347248 434060 477466 868120 954932 1193665 1736240 1909864 2387330 3819728 4774660 9549320 19098640