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90669306 = 2373133389
BaseRepresentation
bin1010110011110…
…00000011111010
320022121110220110
411121320003322
5141202404211
612555205150
72150451000
oct531700372
9208543813
1090669306
11471a9212
12264467b6
1315a277a0
14c082a70
157e5eea6
hex56780fa

90669306 has 64 divisors (see below), whose sum is σ = 227808000. Its totient is φ = 23905728.

The previous prime is 90669301. The next prime is 90669317. The reversal of 90669306 is 60396609.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (90669301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25060 + ... + 28448.

It is an arithmetic number, because the mean of its divisors is an integer number (3559500).

Almost surely, 290669306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90669306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113904000).

90669306 is an abundant number, since it is smaller than the sum of its proper divisors (137138694).

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

90669306 is a wasteful number, since it uses less digits than its factorization.

90669306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 90669306 is about 9522.0431631032. The cubic root of 90669306 is about 449.2486325557.

The spelling of 90669306 in words is "ninety million, six hundred sixty-nine thousand, three hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 1029 1274 1911 2058 3389 3822 4459 6778 8918 10167 13377 20334 23723 26754 44057 47446 71169 88114 132171 142338 166061 264342 308399 332122 498183 616798 925197 996366 1162427 1850394 2158793 2324854 3487281 4317586 6476379 6974562 12952758 15111551 30223102 45334653 90669306