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90278064 = 2434411699
BaseRepresentation
bin1010110000110…
…00100010110000
320021212121020000
411120120202300
5141102344224
612542550000
72144231232
oct530304260
9207777200
1090278064
1146a61278
1226298300
131591b696
14bdc0252
157dd40c9
hex56188b0

90278064 has 100 divisors (see below), whose sum is σ = 267821400. Its totient is φ = 29341440.

The previous prime is 90278053. The next prime is 90278081. The reversal of 90278064 is 46087209.

It is a super-3 number, since 3×902780643 (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52287 + ... + 53985.

It is an arithmetic number, because the mean of its divisors is an integer number (2678214).

Almost surely, 290278064 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 90278064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133910700).

90278064 is an abundant number, since it is smaller than the sum of its proper divisors (177543336).

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

90278064 is a wasteful number, since it uses less digits than its factorization.

90278064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90278064 is about 9501.4769378239. The cubic root of 90278064 is about 448.6015250976.

The spelling of 90278064 in words is "ninety million, two hundred seventy-eight thousand, sixty-four".