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19412000 = 255323211
BaseRepresentation
bin100101000001…
…1010000100000
31100112020020222
41022003100200
514432141000
61532022212
7323666516
oct112032040
940466228
1019412000
11aa59583
126601968
1340388ba
1428144b6
151a86a85
hex1283420

19412000 has 96 divisors (see below), whose sum is σ = 50004864. Its totient is φ = 7392000.

The previous prime is 19411999. The next prime is 19412021. The reversal of 19412000 is 21491.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 19412000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 91895 + ... + 92105.

It is an arithmetic number, because the mean of its divisors is an integer number (520884).

Almost surely, 219412000 is an apocalyptic number.

19412000 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 19412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25002432).

19412000 is an abundant number, since it is smaller than the sum of its proper divisors (30592864).

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

19412000 is a wasteful number, since it uses less digits than its factorization.

19412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 19412000 is about 4405.9051283476. The cubic root of 19412000 is about 268.7551288006.

Adding to 19412000 its reverse (21491), we get a palindrome (19433491).

The spelling of 19412000 in words is "nineteen million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 211 230 250 368 400 422 460 500 575 736 800 844 920 1000 1055 1150 1688 1840 2000 2110 2300 2875 3376 3680 4000 4220 4600 4853 5275 5750 6752 8440 9200 9706 10550 11500 16880 18400 19412 21100 23000 24265 26375 33760 38824 42200 46000 48530 52750 77648 84400 92000 97060 105500 121325 155296 168800 194120 211000 242650 388240 422000 485300 606625 776480 844000 970600 1213250 1941200 2426500 3882400 4853000 9706000 19412000