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66909024 = 25337132337
BaseRepresentation
bin1111111100111…
…1001101100000
311122220022221000
43333033031200
5114112042044
610350032000
71441501020
oct377171540
9148808830
1066909024
113484a816
121a4a8600
1310b28950
148c59a80
155d19d69
hex3fcf360

66909024 has 384 divisors, whose sum is σ = 257402880. Its totient is φ = 16422912.

The previous prime is 66909023. The next prime is 66909091. The reversal of 66909024 is 42090966.

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 66909024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66909023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808334 + ... + 1808370.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 266909024 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 66909024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

66909024 is an abundant number, since it is smaller than the sum of its proper divisors (190493856).

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

66909024 is a wasteful number, since it uses less digits than its factorization.

66909024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 66909024 is about 8179.7936404288. The cubic root of 66909024 is about 405.9708942387.

The spelling of 66909024 in words is "sixty-six million, nine hundred nine thousand, twenty-four".