Search a number
-
+
19095240 = 2335227701
BaseRepresentation
bin100100011010…
…1111011001000
31022221010202010
41020311323020
514342021430
61521135520
7321210153
oct110657310
938833663
1019095240
11a86259a
12648a5a0
133c57678
142770c9a
151a22cb0
hex1235ec8

19095240 has 64 divisors (see below), whose sum is σ = 57620160. Its totient is φ = 5062400.

The previous prime is 19095239. The next prime is 19095259. The reversal of 19095240 is 4259091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 19095198 and 19095207.

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, 26890 + ... + 27590.

It is an arithmetic number, because the mean of its divisors is an integer number (900315).

Almost surely, 219095240 is an apocalyptic number.

19095240 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 19095240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28810080).

19095240 is an abundant number, since it is smaller than the sum of its proper divisors (38524920).

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

19095240 is a wasteful number, since it uses less digits than its factorization.

19095240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 19095240 is about 4369.8100645223. The cubic root of 19095240 is about 267.2852791130.

The spelling of 19095240 in words is "nineteen million, ninety-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 701 908 1135 1362 1402 1816 2103 2270 2724 2804 3405 3505 4206 4540 5448 5608 6810 7010 8412 9080 10515 13620 14020 16824 21030 27240 28040 42060 84120 159127 318254 477381 636508 795635 954762 1273016 1591270 1909524 2386905 3182540 3819048 4773810 6365080 9547620 19095240