Search a number
-
+
19330560 = 29325839
BaseRepresentation
bin100100110111…
…1011000000000
31100101002112200
41021233120000
514422034220
61530153200
7323210214
oct111573000
940332480
1019330560
11aa03377
126582800
13400a802
1427d2944
151a6c890
hex126f600

19330560 has 120 divisors (see below), whose sum is σ = 67026960. Its totient is φ = 5148672.

The previous prime is 19330541. The next prime is 19330561. The reversal of 19330560 is 6503391.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19330561) 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, 22621 + ... + 23459.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 219330560 is an apocalyptic number.

19330560 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 19330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

19330560 is an abundant number, since it is smaller than the sum of its proper divisors (47696400).

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

19330560 is an equidigital number, since it uses as much as digits as its factorization.

19330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 19330560 is about 4396.6532726609. The cubic root of 19330560 is about 268.3787619890.

The spelling of 19330560 in words is "nineteen million, three hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 839 960 1152 1280 1440 1536 1678 1920 2304 2517 2560 2880 3356 3840 4195 4608 5034 5760 6712 7551 7680 8390 10068 11520 12585 13424 15102 16780 20136 23040 25170 26848 30204 33560 37755 40272 50340 53696 60408 67120 75510 80544 100680 107392 120816 134240 151020 161088 201360 214784 241632 268480 302040 322176 402720 429568 483264 536960 604080 644352 805440 966528 1073920 1208160 1288704 1610880 1933056 2147840 2416320 3221760 3866112 4832640 6443520 9665280 19330560