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90010314 = 2327368501
BaseRepresentation
bin1010101110101…
…11001011001010
320021100222221100
411113113023022
5141020312224
612533122230
72142034512
oct527271312
9207328840
1090010314
1146899099
1226189376
1315856854
14bd50842
157d7eac9
hex55d72ca

90010314 has 24 divisors (see below), whose sum is σ = 197696772. Its totient is φ = 29592000.

The previous prime is 90010313. The next prime is 90010331. The reversal of 90010314 is 41301009.

It can be written as a sum of positive squares in 2 ways, for example, as 83119689 + 6890625 = 9117^2 + 2625^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90010313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32937 + ... + 35564.

Almost surely, 290010314 is an apocalyptic number.

90010314 is an abundant number, since it is smaller than the sum of its proper divisors (107686458).

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

90010314 is a wasteful number, since it uses less digits than its factorization.

90010314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68582 (or 68579 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90010314 is about 9487.3765604618. The cubic root of 90010314 is about 448.1575929679.

The spelling of 90010314 in words is "ninety million, ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 68501 137002 205503 411006 616509 1233018 5000573 10001146 15001719 30003438 45005157 90010314