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19080400 = 245247701
BaseRepresentation
bin100100011001…
…0010011010000
31022220101101111
41020302103100
514341033100
61520543104
7321115663
oct110622320
938811344
1019080400
11a852429
126481a94
133c509a1
1427696da
151a1d6ba
hex12324d0

19080400 has 30 divisors (see below), whose sum is σ = 45841622. Its totient is φ = 7632000.

The previous prime is 19080379. The next prime is 19080403. The reversal of 19080400 is 408091.

It can be written as a sum of positive squares in 3 ways, for example, as 898704 + 18181696 = 948^2 + 4264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19080403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23451 + ... + 24250.

Almost surely, 219080400 is an apocalyptic number.

19080400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19080400 is an abundant number, since it is smaller than the sum of its proper divisors (26761222).

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

19080400 is a wasteful number, since it uses less digits than its factorization.

19080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47719 (or 47708 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 19080400 is about 4368.1117201830. Note that the first 3 decimals coincide. The cubic root of 19080400 is about 267.2160202904.

Adding to 19080400 its reverse (408091), we get a palindrome (19488491).

The spelling of 19080400 in words is "nineteen million, eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 47701 95402 190804 238505 381608 477010 763216 954020 1192525 1908040 2385050 3816080 4770100 9540200 19080400