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2001277060 = 2251710954001
BaseRepresentation
bin111011101001001…
…0001000010000100
312011110202102000121
41313102101002010
513044311331220
6530330151324
7100410400666
oct16722210204
95143672017
102001277060
1193773a092
1247a282544
1325b803713
1414db0c536
15baa65eaa
hex77491084

2001277060 has 48 divisors (see below), whose sum is σ = 4490806320. Its totient is φ = 746496000.

The previous prime is 2001277027. The next prime is 2001277067. The reversal of 2001277060 is 607721002.

It can be written as a sum of positive squares in 8 ways, for example, as 1577536 + 1999699524 = 1256^2 + 44718^2 .

It is not an unprimeable number, because it can be changed into a prime (2001277067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10060 + ... + 64060.

It is an arithmetic number, because the mean of its divisors is an integer number (93558465).

Almost surely, 22001277060 is an apocalyptic number.

2001277060 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 2001277060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245403160).

2001277060 is an abundant number, since it is smaller than the sum of its proper divisors (2489529260).

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

2001277060 is a wasteful number, since it uses less digits than its factorization.

2001277060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54136 (or 54134 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 2001277060 is about 44735.6352363527. The cubic root of 2001277060 is about 1260.1891586338.

Adding to 2001277060 its reverse (607721002), we get a palindrome (2608998062).

The spelling of 2001277060 in words is "two billion, one million, two hundred seventy-seven thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1090 1853 2180 3706 7412 9265 18530 37060 54001 108002 216004 270005 540010 918017 1080020 1836034 3672068 4590085 5886109 9180170 11772218 18360340 23544436 29430545 58861090 100063853 117722180 200127706 400255412 500319265 1000638530 2001277060