Search a number
-
+
90489120 = 2535188519
BaseRepresentation
bin1010110010011…
…00000100100000
320022021022201220
411121030010200
5141131122440
612551255040
72146100451
oct531140440
9208238656
1090489120
11470958a7
122637a480
1315993777
14c037128
157e268d0
hex564c120

90489120 has 48 divisors (see below), whose sum is σ = 285042240. Its totient is φ = 24130304.

The previous prime is 90489103. The next prime is 90489127. The reversal of 90489120 is 2198409.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (90489127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93780 + ... + 94739.

It is an arithmetic number, because the mean of its divisors is an integer number (5938380).

Almost surely, 290489120 is an apocalyptic number.

It is an amenable number.

90489120 is an abundant number, since it is smaller than the sum of its proper divisors (194553120).

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

90489120 is a wasteful number, since it uses less digits than its factorization.

90489120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188537 (or 188529 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 90489120 is about 9512.5769379280. The cubic root of 90489120 is about 448.9508397690.

It can be divided in two parts, 90489 and 120, that added together give a palindrome (90609).

The spelling of 90489120 in words is "ninety million, four hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 188519 377038 565557 754076 942595 1131114 1508152 1885190 2262228 2827785 3016304 3770380 4524456 5655570 6032608 7540760 9048912 11311140 15081520 18097824 22622280 30163040 45244560 90489120