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90307026 = 23217421701
BaseRepresentation
bin1010110000111…
…11100111010010
320021221001221200
411120133213102
5141104311101
612543332030
72144411535
oct530374722
9207831850
1090307026
1146a81007
12262b1016
131592b914
14bdcaa1c
157ddc986
hex561f9d2

90307026 has 48 divisors (see below), whose sum is σ = 207963288. Its totient is φ = 28224000.

The previous prime is 90307003. The next prime is 90307027. The reversal of 90307026 is 62070309.

It can be written as a sum of positive squares in 4 ways, for example, as 76580001 + 13727025 = 8751^2 + 3705^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90307027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128476 + ... + 129176.

Almost surely, 290307026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90307026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103981644).

90307026 is an abundant number, since it is smaller than the sum of its proper divisors (117656262).

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

90307026 is a wasteful number, since it uses less digits than its factorization.

90307026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 90307026 is about 9503.0008944543. Note that the first 3 decimals coincide. The cubic root of 90307026 is about 448.6494917452.

The spelling of 90307026 in words is "ninety million, three hundred seven thousand, twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 421 701 842 1263 1402 2103 2526 3789 4206 6309 7157 7578 11917 12618 14314 21471 23834 35751 42942 64413 71502 107253 128826 214506 295121 590242 885363 1770726 2656089 5017057 5312178 10034114 15051171 30102342 45153513 90307026