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19130760 = 23325114831
BaseRepresentation
bin100100011111…
…0100110001000
31022222221110200
41020332212020
514344141020
61522012200
7321415545
oct110764610
938887420
1019130760
11a887250
1264a7060
133c6a89c
14277dbcc
151a2d590
hex123e988

19130760 has 96 divisors (see below), whose sum is σ = 67841280. Its totient is φ = 4636800.

The previous prime is 19130731. The next prime is 19130767. The reversal of 19130760 is 6703191.

It is not an unprimeable number, because it can be changed into a prime (19130767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1545 + ... + 6375.

It is an arithmetic number, because the mean of its divisors is an integer number (706680).

Almost surely, 219130760 is an apocalyptic number.

19130760 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 19130760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33920640).

19130760 is an abundant number, since it is smaller than the sum of its proper divisors (48710520).

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

19130760 is a wasteful number, since it uses less digits than its factorization.

19130760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 19130760 is about 4373.8724261231. The cubic root of 19130760 is about 267.4509066456.

The spelling of 19130760 in words is "nineteen million, one hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 4831 9662 14493 19324 24155 28986 38648 43479 48310 53141 57972 72465 86958 96620 106282 115944 144930 159423 173916 193240 212564 217395 265705 289860 318846 347832 425128 434790 478269 531410 579720 637692 797115 869580 956538 1062820 1275384 1594230 1739160 1913076 2125640 2391345 3188460 3826152 4782690 6376920 9565380 19130760