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2010073260 = 22351325110267
BaseRepresentation
bin111011111001111…
…0100100010101100
312012002022022010210
41313303310202230
513104034321020
6531242502420
7100545224616
oct16763644254
95162268123
102010073260
119416a7878
12481204a10
13260593380
14150d5bdb6
15bb7023e0
hex77cf48ac

2010073260 has 96 divisors (see below), whose sum is σ = 6085884672. Its totient is φ = 492768000.

The previous prime is 2010073223. The next prime is 2010073271. The reversal of 2010073260 is 623700102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190647 + ... + 200913.

It is an arithmetic number, because the mean of its divisors is an integer number (63394632).

Almost surely, 22010073260 is an apocalyptic number.

2010073260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010073260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042942336).

2010073260 is an abundant number, since it is smaller than the sum of its proper divisors (4075811412).

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

2010073260 is a wasteful number, since it uses less digits than its factorization.

2010073260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10543 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2010073260 is about 44833.8405671430. The cubic root of 2010073260 is about 1262.0327606037.

Adding to 2010073260 its reverse (623700102), we get a palindrome (2633773362).

The spelling of 2010073260 in words is "two billion, ten million, seventy-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 251 260 390 502 753 780 1004 1255 1506 2510 3012 3263 3765 5020 6526 7530 9789 10267 13052 15060 16315 19578 20534 30801 32630 39156 41068 48945 51335 61602 65260 97890 102670 123204 133471 154005 195780 205340 266942 308010 400413 533884 616020 667355 800826 1334710 1601652 2002065 2577017 2669420 4004130 5154034 7731051 8008260 10308068 12885085 15462102 25770170 30924204 33501221 38655255 51540340 67002442 77310510 100503663 134004884 154621020 167506105 201007326 335012210 402014652 502518315 670024420 1005036630 2010073260