[go: up one dir, main page]

Search a number
-
+
19142310 = 23511194371
BaseRepresentation
bin100100100000…
…1011010100110
31100000112022110
41021001122212
514400023220
61522141450
7321464325
oct111013246
940015273
1019142310
11a8949a0
1264b1886
133c72c15
1427840bc
151a31be0
hex12416a6

19142310 has 128 divisors (see below), whose sum is σ = 54743040. Its totient is φ = 4233600.

The previous prime is 19142303. The next prime is 19142311. The reversal of 19142310 is 1324191.

It is a super-2 number, since 2×191423102 = 732856064272200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19142311) 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, 269575 + ... + 269645.

It is an arithmetic number, because the mean of its divisors is an integer number (427680).

Almost surely, 219142310 is an apocalyptic number.

19142310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19142310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27371520).

19142310 is an abundant number, since it is smaller than the sum of its proper divisors (35600730).

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

19142310 is a wasteful number, since it uses less digits than its factorization.

19142310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 19142310 is about 4375.1925671906. The cubic root of 19142310 is about 267.5047193973.

It can be divided in two parts, 1914 and 2310, that added together give a palindrome (4224).

The spelling of 19142310 in words is "nineteen million, one hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 43 55 57 66 71 86 95 110 114 129 142 165 190 209 213 215 258 285 330 355 418 426 430 473 570 627 645 710 781 817 946 1045 1065 1254 1290 1349 1419 1562 1634 2090 2130 2343 2365 2451 2698 2838 3053 3135 3905 4047 4085 4686 4730 4902 6106 6270 6745 7095 7810 8094 8170 8987 9159 11715 12255 13490 14190 14839 15265 17974 18318 20235 23430 24510 26961 29678 30530 33583 40470 44517 44935 45795 53922 58007 67166 74195 89034 89870 91590 100749 116014 134805 148390 167915 174021 201498 222585 269610 290035 335830 348042 445170 503745 580070 638077 870105 1007490 1276154 1740210 1914231 3190385 3828462 6380770 9571155 19142310