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900285980 = 225112601619
BaseRepresentation
bin110101101010010…
…100011000011100
32022202001021012012
4311222110120130
53320433122410
6225200130352
731211206316
oct6552243034
92282037165
10900285980
11422208200
122116069b8
131146968c9
14877d27b6
1554086605
hex35a9461c

900285980 has 72 divisors (see below), whose sum is σ = 2084918640. Its totient is φ = 326304000.

The previous prime is 900285979. The next prime is 900286019. The reversal of 900285980 is 89582009.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1454111 + ... + 1454729.

Almost surely, 2900285980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900285980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042459320).

900285980 is an abundant number, since it is smaller than the sum of its proper divisors (1184632660).

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

900285980 is a wasteful number, since it uses less digits than its factorization.

900285980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 900285980 is about 30004.7659547613. The cubic root of 900285980 is about 965.5916369812.

The spelling of 900285980 in words is "nine hundred million, two hundred eighty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 601 605 619 1202 1210 1238 2404 2420 2476 3005 3095 6010 6190 6611 6809 12020 12380 13222 13618 26444 27236 33055 34045 66110 68090 72721 74899 132220 136180 145442 149798 290884 299596 363605 372019 374495 727210 744038 748990 1454420 1488076 1497980 1860095 3720190 4092209 7440380 8184418 16368836 20461045 40922090 45014299 81844180 90028598 180057196 225071495 450142990 900285980