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2006460060 = 2235113040091
BaseRepresentation
bin111011110011000…
…0010011010011100
312011211111201202120
41313212002122130
513102123210220
6531033222540
7100502425533
oct16746023234
95154451676
102006460060
1193a65a160
1247bb61a50
1325c8c9897
1415069b31a
15bb23ba40
hex7798269c

2006460060 has 48 divisors (see below), whose sum is σ = 6128825472. Its totient is φ = 486414400.

The previous prime is 2006460047. The next prime is 2006460083. The reversal of 2006460060 is 600646002.

It is a super-3 number, since 3×20064600603 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2006460060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519386 + ... + 1520705.

It is an arithmetic number, because the mean of its divisors is an integer number (127683864).

Almost surely, 22006460060 is an apocalyptic number.

2006460060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006460060 is an abundant number, since it is smaller than the sum of its proper divisors (4122365412).

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

2006460060 is a wasteful number, since it uses less digits than its factorization.

2006460060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040114 (or 3040112 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2006460060 is about 44793.5269877245. The cubic root of 2006460060 is about 1261.2761195648.

The spelling of 2006460060 in words is "two billion, six million, four hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3040091 6080182 9120273 12160364 15200455 18240546 30400910 33441001 36481092 45601365 60801820 66882002 91202730 100323003 133764004 167205005 182405460 200646006 334410010 401292012 501615015 668820020 1003230030 2006460060