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90842240 = 275141941
BaseRepresentation
bin1010110101000…
…10010010000000
320022221021010102
411122202102000
5141223422430
613003021532
72152101116
oct532422200
9208837112
1090842240
1147307135
122650a8a8
1315a88408
14c0c9ab6
157e96345
hex56a2480

90842240 has 32 divisors (see below), whose sum is σ = 217171260. Its totient is φ = 36336640.

The previous prime is 90842233. The next prime is 90842243. The reversal of 90842240 is 4224809.

It can be written as a sum of positive squares in 2 ways, for example, as 89264704 + 1577536 = 9448^2 + 1256^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (90842243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70331 + ... + 71610.

Almost surely, 290842240 is an apocalyptic number.

It is an amenable number.

90842240 is an abundant number, since it is smaller than the sum of its proper divisors (126329020).

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

90842240 is a wasteful number, since it uses less digits than its factorization.

90842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141960 (or 141948 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 90842240 is about 9531.1195564844. The cubic root of 90842240 is about 449.5340691812.

The spelling of 90842240 in words is "ninety million, eight hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 141941 283882 567764 709705 1135528 1419410 2271056 2838820 4542112 5677640 9084224 11355280 18168448 22710560 45421120 90842240