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19999140 = 22357172801
BaseRepresentation
bin100110001001…
…0100110100100
31101122001122220
41030102212210
520104433030
61552352340
7331663350
oct114224644
941561586
1019999140
111031a717
1268456b0
1341b2c15
142928460
151b50a10
hex13129a4

19999140 has 96 divisors (see below), whose sum is σ = 67785984. Its totient is φ = 4300800.

The previous prime is 19999127. The next prime is 19999159. The reversal of 19999140 is 4199991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 19999092 and 19999101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5740 + ... + 8540.

It is an arithmetic number, because the mean of its divisors is an integer number (706104).

Almost surely, 219999140 is an apocalyptic number.

19999140 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 19999140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33892992).

19999140 is an abundant number, since it is smaller than the sum of its proper divisors (47786844).

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

19999140 is a wasteful number, since it uses less digits than its factorization.

19999140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 42.

The square root of 19999140 is about 4472.0398030429. The cubic root of 19999140 is about 271.4378709385.

The spelling of 19999140 in words is "nineteen million, nine hundred ninety-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 2801 3570 5602 7140 8403 11204 14005 16806 19607 28010 33612 39214 42015 47617 56020 58821 78428 84030 95234 98035 117642 142851 168060 190468 196070 235284 238085 285702 294105 333319 392140 476170 571404 588210 666638 714255 952340 999957 1176420 1333276 1428510 1666595 1999914 2857020 3333190 3999828 4999785 6666380 9999570 19999140