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90093420 = 22325500519
BaseRepresentation
bin1010101111010…
…11011101101100
320021112012221100
411113223131230
5141030442140
612535003100
72142532014
oct527533554
9207465840
1090093420
114694557a
1226209490
1315885621
14bd72c44
157d99530
hex55eb76c

90093420 has 36 divisors (see below), whose sum is σ = 273283920. Its totient is φ = 24024864.

The previous prime is 90093403. The next prime is 90093439. The reversal of 90093420 is 2439009.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250080 + ... + 250439.

It is an arithmetic number, because the mean of its divisors is an integer number (7591220).

Almost surely, 290093420 is an apocalyptic number.

90093420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90093420 is an abundant number, since it is smaller than the sum of its proper divisors (183190500).

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

90093420 is a wasteful number, since it uses less digits than its factorization.

90093420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500534 (or 500529 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90093420 is about 9491.7553697933. The cubic root of 90093420 is about 448.2954776413.

The spelling of 90093420 in words is "ninety million, ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 500519 1001038 1501557 2002076 2502595 3003114 4504671 5005190 6006228 7507785 9009342 10010380 15015570 18018684 22523355 30031140 45046710 90093420