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19943040 = 2735131747
BaseRepresentation
bin100110000010…
…0111010000000
31101112012201010
41030010322000
520101134130
61551240520
7331340655
oct114047200
941465633
1019943040
1110291557
126819140
134193520
142911c2c
151b3e0b0
hex1304e80

19943040 has 256 divisors, whose sum is σ = 74027520. Its totient is φ = 4521984.

The previous prime is 19943017. The next prime is 19943051. The reversal of 19943040 is 4034991.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 19942989 and 19943007.

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, 424297 + ... + 424343.

It is an arithmetic number, because the mean of its divisors is an integer number (289170).

Almost surely, 219943040 is an apocalyptic number.

19943040 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 19943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

19943040 is an abundant number, since it is smaller than the sum of its proper divisors (54084480).

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

19943040 is a wasteful number, since it uses less digits than its factorization.

19943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 19943040 is about 4465.7630926864. The cubic root of 19943040 is about 271.1838279268.

The spelling of 19943040 in words is "nineteen million, nine hundred forty-three thousand, forty".