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19430928 = 2434112947
BaseRepresentation
bin100101000011…
…1111000010000
31100120012020000
41022013320100
514433242203
61532250000
7324105636
oct112077020
940505200
1019430928
11aa71820
126610900
1340443ba
14281b356
151a8c4a3
hex1287e10

19430928 has 200 divisors, whose sum is σ = 64817280. Its totient is φ = 5564160.

The previous prime is 19430923. The next prime is 19430947. The reversal of 19430928 is 82903491.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19430892 and 19430901.

It is not an unprimeable number, because it can be changed into a prime (19430923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 413401 + ... + 413447.

Almost surely, 219430928 is an apocalyptic number.

19430928 is a gapful number since it is divisible by the number (18) 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 19430928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32408640).

19430928 is an abundant number, since it is smaller than the sum of its proper divisors (45386352).

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

19430928 is a wasteful number, since it uses less digits than its factorization.

19430928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 19430928 is about 4408.0526312647. The cubic root of 19430928 is about 268.8424518411.

The spelling of 19430928 in words is "nineteen million, four hundred thirty thousand, nine hundred twenty-eight".