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19413000 = 233353719
BaseRepresentation
bin100101000001…
…1100000001000
31100112021122000
41022003200020
514432204000
61532031000
7324002445
oct112034010
940467560
1019413000
11aa5a302
126602460
1340391a9
1428149cc
151a87000
hex1283808

19413000 has 128 divisors (see below), whose sum is σ = 67392000. Its totient is φ = 5169600.

The previous prime is 19412993. The next prime is 19413001. The reversal of 19413000 is 31491.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (19413001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26641 + ... + 27359.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 219413000 is an apocalyptic number.

19413000 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 19413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696000).

19413000 is an abundant number, since it is smaller than the sum of its proper divisors (47979000).

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

19413000 is a wasteful number, since it uses less digits than its factorization.

19413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 19413000 is about 4406.0186109457. The cubic root of 19413000 is about 268.7597436525.

Adding to 19413000 its reverse (31491), we get a palindrome (19444491).

The spelling of 19413000 in words is "nineteen million, four hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 719 750 900 1000 1080 1125 1350 1438 1500 1800 2157 2250 2700 2876 3000 3375 3595 4314 4500 5400 5752 6471 6750 7190 8628 9000 10785 12942 13500 14380 17256 17975 19413 21570 25884 27000 28760 32355 35950 38826 43140 51768 53925 64710 71900 77652 86280 89875 97065 107850 129420 143800 155304 161775 179750 194130 215700 258840 269625 323550 359500 388260 431400 485325 539250 647100 719000 776520 808875 970650 1078500 1294200 1617750 1941300 2157000 2426625 3235500 3882600 4853250 6471000 9706500 19413000