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19313000 = 235373189
BaseRepresentation
bin100100110101…
…1000101101000
31100100012110022
41021223011220
514421004000
61525540012
7323105060
oct111530550
940305408
1019313000
11a9a1163
126574608
134002815
1427ca3a0
151a67585
hex126b168

19313000 has 128 divisors (see below), whose sum is σ = 53913600. Its totient is φ = 6336000.

The previous prime is 19312973. The next prime is 19313011. The reversal of 19313000 is 31391.

It is a self number, because there is not a number n which added to its sum of digits gives 19313000.

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 31 ways as a sum of consecutive naturals, for example, 216956 + ... + 217044.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 219313000 is an apocalyptic number.

19313000 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 19313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956800).

19313000 is an abundant number, since it is smaller than the sum of its proper divisors (34600600).

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

19313000 is a wasteful number, since it uses less digits than its factorization.

19313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 19313000 is about 4394.6558454559. The cubic root of 19313000 is about 268.2974717280.

Adding to 19313000 its reverse (31391), we get a palindrome (19344391).

The spelling of 19313000 in words is "nineteen million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 89 100 124 125 140 155 175 178 200 217 248 250 280 310 350 356 434 445 500 620 623 700 712 775 868 875 890 1000 1085 1240 1246 1400 1550 1736 1750 1780 2170 2225 2492 2759 3100 3115 3500 3560 3875 4340 4450 4984 5425 5518 6200 6230 7000 7750 8680 8900 10850 11036 11125 12460 13795 15500 15575 17800 19313 21700 22072 22250 24920 27125 27590 31000 31150 38626 43400 44500 54250 55180 62300 68975 77252 77875 89000 96565 108500 110360 124600 137950 154504 155750 193130 217000 275900 311500 344875 386260 482825 551800 623000 689750 772520 965650 1379500 1931300 2414125 2759000 3862600 4828250 9656500 19313000