[go: up one dir, main page]

Search a number
-
+
19275840 = 263352397
BaseRepresentation
bin100100110001…
…0000001000000
31100021022111000
41021202001000
514413311330
61525052000
7322561533
oct111420100
940238430
1019275840
11a976251
126557000
133cbb92c
1427baa1a
151a5b560
hex1262040

19275840 has 224 divisors, whose sum is σ = 71688960. Its totient is φ = 4866048.

The previous prime is 19275829. The next prime is 19275847. The reversal of 19275840 is 4857291.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19275795 and 19275804.

It is not an unprimeable number, because it can be changed into a prime (19275847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198672 + ... + 198768.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 219275840 is an apocalyptic number.

19275840 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 19275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35844480).

19275840 is an abundant number, since it is smaller than the sum of its proper divisors (52413120).

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

19275840 is a wasteful number, since it uses less digits than its factorization.

19275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 19275840 is about 4390.4259474452. The cubic root of 19275840 is about 268.1252848547.

The spelling of 19275840 in words is "nineteen million, two hundred seventy-five thousand, eight hundred forty".