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19800126 = 235131311
BaseRepresentation
bin100101110001…
…0000000111110
31101020221200000
41023202000332
520032101001
61544215130
7330204213
oct113420076
941227600
1019800126
11101a4145
12676a4a6
134143468
1428b5b0a
151b11a86
hex12e203e

19800126 has 48 divisors (see below), whose sum is σ = 44972928. Its totient is φ = 6528600.

The previous prime is 19800119. The next prime is 19800139. The reversal of 19800126 is 62100891.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 19800126.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 63511 + ... + 63821.

It is an arithmetic number, because the mean of its divisors is an integer number (936936).

Almost surely, 219800126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19800126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22486464).

19800126 is an abundant number, since it is smaller than the sum of its proper divisors (25172802).

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

19800126 is a wasteful number, since it uses less digits than its factorization.

19800126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 19800126 is about 4449.7332504320. The cubic root of 19800126 is about 270.5344967581.

The spelling of 19800126 in words is "nineteen million, eight hundred thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 243 262 311 393 486 622 786 933 1179 1866 2358 2799 3537 5598 7074 8397 10611 16794 21222 25191 31833 40741 50382 63666 75573 81482 122223 151146 244446 366669 733338 1100007 2200014 3300021 6600042 9900063 19800126