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2001156660 = 2232519158207
BaseRepresentation
bin111011101000111…
…0011101000110100
312011110112021212100
41313101303220310
513044244003120
6530323422100
7100406356656
oct16721635064
95143467770
102001156660
11937667688
1247a224930
1325b790989
1414daba6d6
15baa40490
hex77473a34

2001156660 has 72 divisors (see below), whose sum is σ = 6102061056. Its totient is φ = 530838720.

The previous prime is 2001156613. The next prime is 2001156673. The reversal of 2001156660 is 666511002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5277 + ... + 63483.

It is an arithmetic number, because the mean of its divisors is an integer number (84750848).

Almost surely, 22001156660 is an apocalyptic number.

2001156660 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 2001156660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051030528).

2001156660 is an abundant number, since it is smaller than the sum of its proper divisors (4100904396).

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

2001156660 is a wasteful number, since it uses less digits than its factorization.

2001156660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58413 (or 58408 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2001156660 is about 44734.2895327510. The cubic root of 2001156660 is about 1260.1638864679.

Adding to 2001156660 its reverse (666511002), we get a palindrome (2667667662).

The spelling of 2001156660 in words is "two billion, one million, one hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 5730 6876 8595 11460 17190 34380 58207 116414 174621 232828 291035 349242 523863 582070 698484 873105 1047726 1164140 1746210 2095452 2619315 3492420 5238630 10477260 11117537 22235074 33352611 44470148 55587685 66705222 100057833 111175370 133410444 166763055 200115666 222350740 333526110 400231332 500289165 667052220 1000578330 2001156660