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19952064 = 2632114767
BaseRepresentation
bin100110000011…
…1000111000000
31101112200002100
41030013013000
520101431224
61551350400
7331406166
oct114070700
941480070
1019952064
1110298310
126822400
134197672
142915236
151b41ac9
hex13071c0

19952064 has 168 divisors, whose sum is σ = 64666368. Its totient is φ = 5829120.

The previous prime is 19952047. The next prime is 19952077. The reversal of 19952064 is 46025991.

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

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, 297759 + ... + 297825.

Almost surely, 219952064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32333184).

19952064 is an abundant number, since it is smaller than the sum of its proper divisors (44714304).

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

19952064 is a wasteful number, since it uses less digits than its factorization.

19952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 19952064 is about 4466.7733320597. The cubic root of 19952064 is about 271.2247242972.

The spelling of 19952064 in words is "nineteen million, nine hundred fifty-two thousand, sixty-four".