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90756666 = 233711132373
BaseRepresentation
bin1010110100011…
…01011000111010
320022202220202000
411122031120322
5141213203131
613001121430
72151263460
oct532153072
9208686660
1090756666
1147258910
1226489276
1315a58490
14c0a6830
157e7ace6
hex568d63a

90756666 has 256 divisors, whose sum is σ = 286433280. Its totient is φ = 20528640.

The previous prime is 90756661. The next prime is 90756683. The reversal of 90756666 is 66665709.

It is not an unprimeable number, because it can be changed into a prime (90756661) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1243206 + ... + 1243278.

It is an arithmetic number, because the mean of its divisors is an integer number (1118880).

Almost surely, 290756666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90756666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143216640).

90756666 is an abundant number, since it is smaller than the sum of its proper divisors (195676614).

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

90756666 is a wasteful number, since it uses less digits than its factorization.

90756666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 90756666 is about 9526.6293094672. The cubic root of 90756666 is about 449.3928701313.

The spelling of 90756666 in words is "ninety million, seven hundred fifty-six thousand, six hundred sixty-six".