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90540378 = 2322925981
BaseRepresentation
bin1010110010110…
…00100101011010
320022100221001100
411121120211122
5141134243003
612552332230
72146403055
oct531304532
9208327040
1090540378
1147120365
12263a4076
13159b0bb6
14c04ba9c
157e36ba3
hex565895a

90540378 has 36 divisors (see below), whose sum is σ = 203202558. Its totient is φ = 29134560.

The previous prime is 90540371. The next prime is 90540379. The reversal of 90540378 is 87304509.

It can be written as a sum of positive squares in 3 ways, for example, as 54863649 + 35676729 = 7407^2 + 5973^2 .

It is not an unprimeable number, because it can be changed into a prime (90540371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12148 + ... + 18128.

Almost surely, 290540378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90540378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101601279).

90540378 is an abundant number, since it is smaller than the sum of its proper divisors (112662180).

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

90540378 is a wasteful number, since it uses less digits than its factorization.

90540378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90540378 is about 9515.2707791213. The cubic root of 90540378 is about 449.0355938932.

The spelling of 90540378 in words is "ninety million, five hundred forty thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 841 1682 2523 5046 5981 7569 11962 15138 17943 35886 53829 107658 173449 346898 520347 1040694 1561041 3122082 5030021 10060042 15090063 30180126 45270189 90540378