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90010820 = 2254500541
BaseRepresentation
bin1010101110101…
…11010011000100
320021101000122002
411113113103010
5141020321240
612533124432
72142036134
oct527272304
9207330562
1090010820
1146899509
1226189718
1315856b53
14bd50ac4
157d7ed15
hex55d74c4

90010820 has 12 divisors (see below), whose sum is σ = 189022764. Its totient is φ = 36004320.

The previous prime is 90010819. The next prime is 90010831. The reversal of 90010820 is 2801009.

It can be written as a sum of positive squares in 2 ways, for example, as 20921476 + 69089344 = 4574^2 + 8312^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 4500541 = 90010820 / (9 + 0 + 0 + 1 + 0 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 90010792 and 90010801.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2250251 + ... + 2250290.

It is an arithmetic number, because the mean of its divisors is an integer number (15751897).

Almost surely, 290010820 is an apocalyptic number.

It is an amenable number.

90010820 is an abundant number, since it is smaller than the sum of its proper divisors (99011944).

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

90010820 is a wasteful number, since it uses less digits than its factorization.

90010820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500550 (or 4500548 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 90010820 is about 9487.4032274379. The cubic root of 90010820 is about 448.1584327507.

Adding to 90010820 its reverse (2801009), we get a palindrome (92811829).

The spelling of 90010820 in words is "ninety million, ten thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 4500541 9001082 18002164 22502705 45005410 90010820