Search a number
-
+
19807008 = 2531359269
BaseRepresentation
bin100101110001…
…1101100100000
31101021022002220
41023203230200
520032311013
61544311040
7330233244
oct113435440
941238086
1019807008
11101a9331
126772480
134146630
1428b8424
151b13b23
hex12e3b20

19807008 has 96 divisors (see below), whose sum is σ = 57153600. Its totient is φ = 5968896.

The previous prime is 19806967. The next prime is 19807013. The reversal of 19807008 is 80070891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 19807008.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73498 + ... + 73766.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 219807008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19807008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576800).

19807008 is an abundant number, since it is smaller than the sum of its proper divisors (37346592).

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

19807008 is a wasteful number, since it uses less digits than its factorization.

19807008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 19807008 is about 4450.5064880303. The cubic root of 19807008 is about 270.5658366722.

Adding to 19807008 its reverse (80070891), we get a palindrome (99877899).

The spelling of 19807008 in words is "nineteen million, eight hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 177 208 236 269 312 354 416 472 538 624 708 767 807 944 1076 1248 1416 1534 1614 1888 2152 2301 2832 3068 3228 3497 4304 4602 5664 6136 6456 6994 8608 9204 10491 12272 12912 13988 15871 18408 20982 24544 25824 27976 31742 36816 41964 47613 55952 63484 73632 83928 95226 111904 126968 167856 190452 206323 253936 335712 380904 412646 507872 618969 761808 825292 1237938 1523616 1650584 2475876 3301168 4951752 6602336 9903504 19807008