Search a number
-
+
9990415360 = 21051951253
BaseRepresentation
bin10010100110111100…
…11010010000000000
3221210020201200110201
421103132122100000
5130430021242420
64331201134544
7502400062252
oct112336322000
927706650421
109990415360
114267368a22
121b2992a454
13c32a129a3
146aab89cd2
153d711810a
hex25379a400

9990415360 has 44 divisors (see below), whose sum is σ = 23965301628. Its totient is φ = 3996164096.

The previous prime is 9990415321. The next prime is 9990415397. The reversal of 9990415360 is 635140999.

It can be written as a sum of positive squares in 2 ways, for example, as 3425526784 + 6564888576 = 58528^2 + 81024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9990415360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 970507 + ... + 980746.

Almost surely, 29990415360 is an apocalyptic number.

It is an amenable number.

9990415360 is an abundant number, since it is smaller than the sum of its proper divisors (13974886268).

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

9990415360 is a wasteful number, since it uses less digits than its factorization.

9990415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951278 (or 1951260 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The square root of 9990415360 is about 99952.0653113281. The cubic root of 9990415360 is about 2153.7461539758.

The spelling of 9990415360 in words is "nine billion, nine hundred ninety million, four hundred fifteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 1951253 3902506 7805012 9756265 15610024 19512530 31220048 39025060 62440096 78050120 124880192 156100240 249760384 312200480 499520768 624400960 999041536 1248801920 1998083072 2497603840 4995207680 9990415360