Search a number
-
+
19891600 = 24522232
BaseRepresentation
bin100101111100…
…0010110010000
31101102121010221
41023320112100
520043012400
61550202424
7331035001
oct113702620
941377127
1019891600
1110256943
1267b3414
134175ca1
1428db1a8
151b2dc1a
hex12f8590

19891600 has 45 divisors (see below), whose sum is σ = 48004833. Its totient is φ = 7920960.

The previous prime is 19891579. The next prime is 19891631. The reversal of 19891600 is 619891.

The square root of 19891600 is 4460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7160976 + 12730624 = 2676^2 + 3568^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 89089 + ... + 89311.

Almost surely, 219891600 is an apocalyptic number.

19891600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19891600 is the 4460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19891600

19891600 is an abundant number, since it is smaller than the sum of its proper divisors (28113233).

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

19891600 is an equidigital number, since it uses as much as digits as its factorization.

19891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The cubic root of 19891600 is about 270.9504682013.

The spelling of 19891600 in words is "nineteen million, eight hundred ninety-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 223 400 446 892 1115 1784 2230 3568 4460 5575 8920 11150 17840 22300 44600 49729 89200 99458 198916 248645 397832 497290 795664 994580 1243225 1989160 2486450 3978320 4972900 9945800 19891600