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19660032 = 283272353
BaseRepresentation
bin100101011111…
…1110100000000
31100222211111100
41022333310000
520013110112
61541214400
7326051610
oct112776400
940884440
1019660032
1110108967
126701400
1340c4772
14287aa40
151ad52dc
hex12bfd00

19660032 has 216 divisors, whose sum is σ = 68874624. Its totient is φ = 5271552.

The previous prime is 19660031. The next prime is 19660037. The reversal of 19660032 is 23006691.

It is a happy number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 19659978 and 19660005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19660031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370918 + ... + 370970.

It is an arithmetic number, because the mean of its divisors is an integer number (318864).

Almost surely, 219660032 is an apocalyptic number.

19660032 is a gapful number since it is divisible by the number (12) 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 19660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34437312).

19660032 is an abundant number, since it is smaller than the sum of its proper divisors (49214592).

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

19660032 is a wasteful number, since it uses less digits than its factorization.

19660032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 19660032 is about 4433.9634639902. The cubic root of 19660032 is about 269.8949385480.

The spelling of 19660032 in words is "nineteen million, six hundred sixty thousand, thirty-two".