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2580030306 = 234713716607
BaseRepresentation
bin1001100111001000…
…0010001101100010
320122210210010020000
42121302002031202
520240441432211
61104003000430
7120635616150
oct23162021542
96583703200
102580030306
1111043a5a57
12600069116
133216a0569
141a69243d0
15101788656
hex99c82362

2580030306 has 80 divisors (see below), whose sum is σ = 6655689216. Its totient is φ = 731726784.

The previous prime is 2580030289. The next prime is 2580030307. The reversal of 2580030306 is 6030300852.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2580030306.

It is not an unprimeable number, because it can be changed into a prime (2580030307) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 147055 + ... + 163661.

Almost surely, 22580030306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580030306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327844608).

2580030306 is an abundant number, since it is smaller than the sum of its proper divisors (4075658910).

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

2580030306 is a wasteful number, since it uses less digits than its factorization.

2580030306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16765 (or 16756 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2580030306 is about 50793.9987203213. The cubic root of 2580030306 is about 1371.5393402997.

The spelling of 2580030306 in words is "two billion, five hundred eighty million, thirty thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 137 162 189 274 378 411 567 822 959 1134 1233 1918 2466 2877 3699 5754 7398 8631 11097 16607 17262 22194 25893 33214 49821 51786 77679 99642 116249 149463 155358 232498 298926 348747 448389 697494 896778 1046241 1345167 2092482 2275159 2690334 3138723 4550318 6277446 6825477 9416169 13650954 15926113 18832338 20476431 31852226 40952862 47778339 61429293 95556678 122858586 143335017 184287879 286670034 368575758 430005051 860010102 1290015153 2580030306