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66601692 = 2232712367
BaseRepresentation
bin1111111000010…
…0001011011100
311122022201100100
43332010023130
5114022223232
610335301100
71436051013
oct376041334
9148281310
1066601692
113465a923
121a37a790
1310a4bab1
148bb9a7a
155ca8c7c
hex3f842dc

66601692 has 54 divisors (see below), whose sum is σ = 171224144. Its totient is φ = 21828240.

The previous prime is 66601687. The next prime is 66601693. The reversal of 66601692 is 29610666.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66601693) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 181293 + ... + 181659.

Almost surely, 266601692 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 66601692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85612072).

66601692 is an abundant number, since it is smaller than the sum of its proper divisors (104622452).

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

66601692 is a wasteful number, since it uses less digits than its factorization.

66601692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 443 counting only the distinct ones).

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

The square root of 66601692 is about 8160.9859698446. The cubic root of 66601692 is about 405.3483605372.

The spelling of 66601692 in words is "sixty-six million, six hundred one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 367 426 639 734 852 1101 1278 1468 2202 2556 3303 4404 5041 6606 10082 13212 15123 20164 26057 30246 45369 52114 60492 78171 90738 104228 156342 181476 234513 312684 469026 938052 1850047 3700094 5550141 7400188 11100282 16650423 22200564 33300846 66601692