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2009985480 = 2332517328429
BaseRepresentation
bin111011111001101…
…1111000111001000
312012002010211201200
41313303133013020
513104024013410
6531240544200
7100544410656
oct16763370710
95162124650
102009985480
11941647928
12481182060
13260562429
14150d37dd6
15bb6d63c0
hex77cdf1c8

2009985480 has 96 divisors (see below), whose sum is σ = 6916735800. Its totient is φ = 504465408.

The previous prime is 2009985427. The next prime is 2009985487. The reversal of 2009985480 is 845899002.

2009985480 is a `hidden beast` number, since 2 + 0 + 0 + 99 + 85 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2002920516 + 7064964 = 44754^2 + 2658^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2009985487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158095 + ... + 170334.

Almost surely, 22009985480 is an apocalyptic number.

2009985480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2009985480 is an abundant number, since it is smaller than the sum of its proper divisors (4906750320).

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

2009985480 is a wasteful number, since it uses less digits than its factorization.

2009985480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328463 (or 328456 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2009985480 is about 44832.8616084229. The cubic root of 2009985480 is about 1262.0143893249.

The spelling of 2009985480 in words is "two billion, nine million, nine hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 328429 656858 985287 1313716 1642145 1970574 2627432 2955861 3284290 3941148 4926435 5583293 5911722 6568580 7882296 9852870 11166586 11823444 13137160 14779305 16749879 19705740 22333172 23646888 27916465 29558610 33499758 39411480 44666344 50249637 55832930 59117220 66999516 83749395 100499274 111665860 118234440 133999032 167498790 200998548 223331720 251248185 334997580 401997096 502496370 669995160 1004992740 2009985480