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19895140 = 225531372
BaseRepresentation
bin100101111100…
…1001101100100
31101102210000001
41023321031210
520043121030
61550231044
7331051216
oct113711544
941383001
1019895140
1110259571
1267b5484
134177795
1428dc5b6
151b2ecca
hex12f9364

19895140 has 36 divisors (see below), whose sum is σ = 42881076. Its totient is φ = 7750912.

The previous prime is 19895137. The next prime is 19895143. The reversal of 19895140 is 4159891.

It is an interprime number because it is at equal distance from previous prime (19895137) and next prime (19895143).

It can be written as a sum of positive squares in 6 ways, for example, as 341056 + 19554084 = 584^2 + 4422^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19895140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19895143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145152 + ... + 145288.

It is an arithmetic number, because the mean of its divisors is an integer number (1191141).

Almost surely, 219895140 is an apocalyptic number.

19895140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19895140 is an abundant number, since it is smaller than the sum of its proper divisors (22985936).

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

19895140 is a wasteful number, since it uses less digits than its factorization.

19895140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 19895140 is about 4460.3968433313. The cubic root of 19895140 is about 270.9665404422.

The spelling of 19895140 in words is "nineteen million, eight hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 137 212 265 274 530 548 685 1060 1370 2740 7261 14522 18769 29044 36305 37538 72610 75076 93845 145220 187690 375380 994757 1989514 3979028 4973785 9947570 19895140