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19429840 = 245242873
BaseRepresentation
bin100101000011…
…1100111010000
31100120010201201
41022013213100
514433223330
61532240544
7324102523
oct112074720
940503651
1019429840
11aa70a21
126610154
134043a61
14281abba
151a8beca
hex12879d0

19429840 has 20 divisors (see below), whose sum is σ = 45174564. Its totient is φ = 7771904.

The previous prime is 19429829. The next prime is 19429841. The reversal of 19429840 is 4892491.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4032064 + 15397776 = 2008^2 + 3924^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 19429840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19429841) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 121357 + ... + 121516.

Almost surely, 219429840 is an apocalyptic number.

19429840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19429840 is an abundant number, since it is smaller than the sum of its proper divisors (25744724).

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

19429840 is a wasteful number, since it uses less digits than its factorization.

19429840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242886 (or 242880 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 19429840 is about 4407.9292190324. The cubic root of 19429840 is about 268.8374339636.

The spelling of 19429840 in words is "nineteen million, four hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 242873 485746 971492 1214365 1942984 2428730 3885968 4857460 9714920 19429840