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19997700 = 22352191349
BaseRepresentation
bin100110001001…
…0010000000100
31101121222200120
41030102100010
520104411300
61552341540
7331656222
oct114222004
941558616
1019997700
1110319628
1268448b0
1341b2378
142927b12
151b503a0
hex1312404

19997700 has 72 divisors (see below), whose sum is σ = 58329600. Its totient is φ = 5289600.

The previous prime is 19997699. The next prime is 19997707. The reversal of 19997700 is 779991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19997707) 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 23 ways as a sum of consecutive naturals, for example, 57126 + ... + 57474.

Almost surely, 219997700 is an apocalyptic number.

19997700 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 19997700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29164800).

19997700 is an abundant number, since it is smaller than the sum of its proper divisors (38331900).

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

19997700 is a wasteful number, since it uses less digits than its factorization.

19997700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 35721, while the sum is 42.

The square root of 19997700 is about 4471.8787997887. The cubic root of 19997700 is about 271.4313559931.

The spelling of 19997700 in words is "nineteen million, nine hundred ninety-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 349 382 573 698 764 955 1047 1146 1396 1745 1910 2094 2292 2865 3490 3820 4188 4775 5235 5730 6980 8725 9550 10470 11460 14325 17450 19100 20940 26175 28650 34900 52350 57300 66659 104700 133318 199977 266636 333295 399954 666590 799908 999885 1333180 1666475 1999770 3332950 3999540 4999425 6665900 9998850 19997700