Search a number
-
+
90680300 = 22521376619
BaseRepresentation
bin1010110011110…
…10101111101100
320022122000222122
411121322233230
5141203232200
612555332112
72150525024
oct531725754
9208560878
1090680300
11472064a7
1226451038
1315a2c7a9
14c086a84
157e63385
hex567abec

90680300 has 36 divisors (see below), whose sum is σ = 198242520. Its totient is φ = 36001920.

The previous prime is 90680281. The next prime is 90680311. The reversal of 90680300 is 308609.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90680300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10391 + ... + 17009.

Almost surely, 290680300 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 90680300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99121260).

90680300 is an abundant number, since it is smaller than the sum of its proper divisors (107562220).

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

90680300 is a wasteful number, since it uses less digits than its factorization.

90680300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 90680300 is about 9522.6204376737. The cubic root of 90680300 is about 449.2667895266.

Adding to 90680300 its reverse (308609), we get a palindrome (90988909).

The spelling of 90680300 in words is "ninety million, six hundred eighty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3425 6619 6850 13238 13700 26476 33095 66190 132380 165475 330950 661900 906803 1813606 3627212 4534015 9068030 18136060 22670075 45340150 90680300