Search a number
-
+
19093040 = 24517101139
BaseRepresentation
bin100100011010…
…1011000110000
31022221000201122
41020311120300
514341434130
61521121412
7321200561
oct110653060
938830648
1019093040
11a86097a
126489268
133c56675
142770168
151a222e5
hex1235630

19093040 has 80 divisors (see below), whose sum is σ = 47809440. Its totient is φ = 7065600.

The previous prime is 19093033. The next prime is 19093051. The reversal of 19093040 is 4039091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137291 + ... + 137429.

It is an arithmetic number, because the mean of its divisors is an integer number (597618).

Almost surely, 219093040 is an apocalyptic number.

19093040 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 19093040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904720).

19093040 is an abundant number, since it is smaller than the sum of its proper divisors (28716400).

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

19093040 is a wasteful number, since it uses less digits than its factorization.

19093040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 19093040 is about 4369.5583300833. The cubic root of 19093040 is about 267.2750138986.

The spelling of 19093040 in words is "nineteen million, ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 101 136 139 170 202 272 278 340 404 505 556 680 695 808 1010 1112 1360 1390 1616 1717 2020 2224 2363 2780 3434 4040 4726 5560 6868 8080 8585 9452 11120 11815 13736 14039 17170 18904 23630 27472 28078 34340 37808 47260 56156 68680 70195 94520 112312 137360 140390 189040 224624 238663 280780 477326 561560 954652 1123120 1193315 1909304 2386630 3818608 4773260 9546520 19093040