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90735440 = 2451134193
BaseRepresentation
bin1010110100010…
…00001101010000
320022201211121212
411122020031100
5141212013230
613000435252
72151144545
oct532101520
9208654555
1090735440
1147243974
1226478b28
1315a4b913
14c09cbcc
157e74895
hex5688350

90735440 has 20 divisors (see below), whose sum is σ = 210960084. Its totient is φ = 36294144.

The previous prime is 90735439. The next prime is 90735457. The reversal of 90735440 is 4453709.

It can be written as a sum of positive squares in 2 ways, for example, as 51897616 + 38837824 = 7204^2 + 6232^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 90735397 and 90735406.

It is a congruent number.

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, 567017 + ... + 567176.

Almost surely, 290735440 is an apocalyptic number.

It is an amenable number.

90735440 is an abundant number, since it is smaller than the sum of its proper divisors (120224644).

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

90735440 is a wasteful number, since it uses less digits than its factorization.

90735440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134206 (or 1134200 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 90735440 is about 9525.5152091632. The cubic root of 90735440 is about 449.3578330106.

The spelling of 90735440 in words is "ninety million, seven hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1134193 2268386 4536772 5670965 9073544 11341930 18147088 22683860 45367720 90735440