Search a number
-
+
19925000 = 2355797
BaseRepresentation
bin100110000000…
…0100000001000
31101111021221222
41030000200020
520100100000
61551021212
7331234244
oct114004010
941437858
1019925000
1110279a47
12680a808
134188254
142909424
151b38a85
hex1300808

19925000 has 48 divisors (see below), whose sum is σ = 46754820. Its totient is φ = 7960000.

The previous prime is 19924987. The next prime is 19925011. The reversal of 19925000 is 52991.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2502724 + 17422276 = 1582^2 + 4174^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24602 + ... + 25398.

Almost surely, 219925000 is an apocalyptic number.

19925000 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 19925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23377410).

19925000 is an abundant number, since it is smaller than the sum of its proper divisors (26829820).

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

19925000 is an frugal number, since it uses more digits than its factorization.

19925000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 19925000 is about 4463.7428241331. The cubic root of 19925000 is about 271.1020344438.

Adding to 19925000 its reverse (52991), we get a palindrome (19977991).

The spelling of 19925000 in words is "nineteen million, nine hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 797 1000 1250 1594 2500 3125 3188 3985 5000 6250 6376 7970 12500 15940 19925 25000 31880 39850 79700 99625 159400 199250 398500 498125 797000 996250 1992500 2490625 3985000 4981250 9962500 19925000