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19493000 = 2353101193
BaseRepresentation
bin100101001011…
…1000010001000
31100200100100222
41022113002020
514442234000
61533445212
7324454622
oct112270210
940610328
1019493000
111000441a
126640808
134066727
142835c12
151aa0a85
hex1297088

19493000 has 64 divisors (see below), whose sum is σ = 46303920. Its totient is φ = 7680000.

The previous prime is 19492987. The next prime is 19493021. The reversal of 19493000 is 39491.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2137444 + 17355556 = 1462^2 + 4166^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100904 + ... + 101096.

Almost surely, 219493000 is an apocalyptic number.

19493000 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 19493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23151960).

19493000 is an abundant number, since it is smaller than the sum of its proper divisors (26810920).

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

19493000 is a wasteful number, since it uses less digits than its factorization.

19493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 19493000 is about 4415.0877680970. The cubic root of 19493000 is about 269.1284194948.

The spelling of 19493000 in words is "nineteen million, four hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 193 200 202 250 386 404 500 505 772 808 965 1000 1010 1544 1930 2020 2525 3860 4040 4825 5050 7720 9650 10100 12625 19300 19493 20200 24125 25250 38600 38986 48250 50500 77972 96500 97465 101000 155944 193000 194930 389860 487325 779720 974650 1949300 2436625 3898600 4873250 9746500 19493000