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19930000 = 24541993
BaseRepresentation
bin100110000000…
…1101110010000
31101111112211011
41030001232100
520100230000
61551100304
7331254646
oct114015620
941445734
1019930000
1110282782
126811694
13418a5cc
14290b196
151b3a2ba
hex1301b90

19930000 has 50 divisors (see below), whose sum is σ = 48276734. Its totient is φ = 7968000.

The previous prime is 19929997. The next prime is 19930007. The reversal of 19930000 is 3991.

It can be written as a sum of positive squares in 5 ways, for example, as 5550736 + 14379264 = 2356^2 + 3792^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (19930007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9004 + ... + 10996.

Almost surely, 219930000 is an apocalyptic number.

19930000 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 19930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24138367).

19930000 is an abundant number, since it is smaller than the sum of its proper divisors (28346734).

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

19930000 is an equidigital number, since it uses as much as digits as its factorization.

19930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 22.

The square root of 19930000 is about 4464.3028571099. The cubic root of 19930000 is about 271.1247094217.

Adding to 19930000 its reverse (3991), we get a palindrome (19933991).

The spelling of 19930000 in words is "nineteen million, nine hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1993 2000 2500 3986 5000 7972 9965 10000 15944 19930 31888 39860 49825 79720 99650 159440 199300 249125 398600 498250 797200 996500 1245625 1993000 2491250 3986000 4982500 9965000 19930000