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19933056 = 273211313
BaseRepresentation
bin100110000001…
…0011110000000
31101111201000100
41030002132000
520100324211
61551122400
7331266603
oct114023600
941451010
1019933056
1110285000
126813400
13418bb10
14290c33a
151b3b156
hex1302780

19933056 has 192 divisors, whose sum is σ = 67944240. Its totient is φ = 5575680.

The previous prime is 19933013. The next prime is 19933073. The reversal of 19933056 is 65033991.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 19933056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1533306 + ... + 1533318.

Almost surely, 219933056 is an apocalyptic number.

19933056 is a gapful number since it is divisible by the number (16) 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 19933056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33972120).

19933056 is an abundant number, since it is smaller than the sum of its proper divisors (48011184).

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

19933056 is a wasteful number, since it uses less digits than its factorization.

19933056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 19933056 is about 4464.6451146760. The cubic root of 19933056 is about 271.1385665010.

The spelling of 19933056 in words is "nineteen million, nine hundred thirty-three thousand, fifty-six".