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19900440 = 23325753149
BaseRepresentation
bin100101111101…
…0100000011000
31101110001021100
41023322200120
520043303230
61550311400
7331102530
oct113724030
941401240
1019900440
111026254a
1267b8560
13417a011
1429004c0
151b31660
hex12fa818

19900440 has 192 divisors, whose sum is σ = 75816000. Its totient is φ = 4432896.

The previous prime is 19900417. The next prime is 19900459. The reversal of 19900440 is 4400991.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 133486 + ... + 133634.

It is an arithmetic number, because the mean of its divisors is an integer number (394875).

Almost surely, 219900440 is an apocalyptic number.

19900440 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 19900440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37908000).

19900440 is an abundant number, since it is smaller than the sum of its proper divisors (55915560).

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

19900440 is a wasteful number, since it uses less digits than its factorization.

19900440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 19900440 is about 4460.9909213089. The cubic root of 19900440 is about 270.9905998382.

The spelling of 19900440 in words is "nineteen million, nine hundred thousand, four hundred forty".