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90300816 = 2432627089
BaseRepresentation
bin1010110000111…
…10000110010000
320021220202102200
411120132012100
5141104111231
612543243200
72144354454
oct530360620
9207822380
1090300816
1146a77381
12262a9500
1315928b48
14bdc8664
157ddabe6
hex561e190

90300816 has 30 divisors (see below), whose sum is σ = 252717270. Its totient is φ = 30100224.

The previous prime is 90300811. The next prime is 90300839. The reversal of 90300816 is 61800309.

It can be written as a sum of positive squares in only one way, i.e., 68956416 + 21344400 = 8304^2 + 4620^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90300816.

It is not an unprimeable number, because it can be changed into a prime (90300811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 313401 + ... + 313688.

It is an arithmetic number, because the mean of its divisors is an integer number (8423909).

Almost surely, 290300816 is an apocalyptic number.

It is an amenable number.

90300816 is an abundant number, since it is smaller than the sum of its proper divisors (162416454).

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

90300816 is a wasteful number, since it uses less digits than its factorization.

90300816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627103 (or 627094 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90300816 is about 9502.6741499433. The cubic root of 90300816 is about 448.6392076535.

The spelling of 90300816 in words is "ninety million, three hundred thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 627089 1254178 1881267 2508356 3762534 5016712 5643801 7525068 10033424 11287602 15050136 22575204 30100272 45150408 90300816