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90353920 = 28570589
BaseRepresentation
bin1010110001010…
…11000100000000
320022000110021111
411120223010000
5141112311140
612544333104
72144665336
oct530530400
9208013244
1090353920
1147003268
1226314194
1315947077
14bdddb56
157deb7ea
hex562b100

90353920 has 36 divisors (see below), whose sum is σ = 216428940. Its totient is φ = 36141056.

The previous prime is 90353917. The next prime is 90353941. The reversal of 90353920 is 2935309.

It can be written as a sum of positive squares in 2 ways, for example, as 27373824 + 62980096 = 5232^2 + 7936^2 .

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, 34015 + ... + 36574.

It is an arithmetic number, because the mean of its divisors is an integer number (6011915).

Almost surely, 290353920 is an apocalyptic number.

It is an amenable number.

90353920 is an abundant number, since it is smaller than the sum of its proper divisors (126075020).

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

90353920 is an equidigital number, since it uses as much as digits as its factorization.

90353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70610 (or 70596 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 31.

The square root of 90353920 is about 9505.4679001089. The cubic root of 90353920 is about 448.7271354960.

The spelling of 90353920 in words is "ninety million, three hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 70589 141178 282356 352945 564712 705890 1129424 1411780 2258848 2823560 4517696 5647120 9035392 11294240 18070784 22588480 45176960 90353920