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66996090 = 232571929193
BaseRepresentation
bin1111111110010…
…0011101111010
311200001202100200
43333210131322
5114122333330
610351543030
71442312610
oct377443572
9150052320
1066996090
11348aa177
121a52aa76
1310b59475
148c7d6b0
155d35a60
hex3fe477a

66996090 has 192 divisors, whose sum is σ = 217900800. Its totient is φ = 13934592.

The previous prime is 66996089. The next prime is 66996101. The reversal of 66996090 is 9069966.

66996090 = T2135 + T2136 + ... + T2163.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347034 + ... + 347226.

It is an arithmetic number, because the mean of its divisors is an integer number (1134900).

Almost surely, 266996090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66996090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108950400).

66996090 is an abundant number, since it is smaller than the sum of its proper divisors (150904710).

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

66996090 is a wasteful number, since it uses less digits than its factorization.

66996090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 66996090 is about 8185.1139271240. The cubic root of 66996090 is about 406.1469090684.

The spelling of 66996090 in words is "sixty-six million, nine hundred ninety-six thousand, ninety".