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2010470980 = 2257213914759
BaseRepresentation
bin111011111010101…
…0101101001000100
312012010001111201011
41313311111221010
513104140032410
6531255212004
7100551502300
oct16765255104
95163044634
102010470980
11941949671
12481377004
132606a23cb
14151022d00
15bb78018a
hex77d55a44

2010470980 has 72 divisors (see below), whose sum is σ = 4946961600. Its totient is φ = 684298944.

The previous prime is 2010470939. The next prime is 2010471019. The reversal of 2010470980 is 890740102.

It is a super-2 number, since 2×20104709802 = 8083987122844320800, which contains 22 as substring.

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, 128841 + ... + 143599.

It is an arithmetic number, because the mean of its divisors is an integer number (68707800).

Almost surely, 22010470980 is an apocalyptic number.

2010470980 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 2010470980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473480800).

2010470980 is an abundant number, since it is smaller than the sum of its proper divisors (2936490620).

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

2010470980 is a wasteful number, since it uses less digits than its factorization.

2010470980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14912 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 2010470980 is about 44838.2758366108. The cubic root of 2010470980 is about 1262.1159918268.

The spelling of 2010470980 in words is "two billion, ten million, four hundred seventy thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 139 140 196 245 278 490 556 695 973 980 1390 1946 2780 3892 4865 6811 9730 13622 14759 19460 27244 29518 34055 59036 68110 73795 103313 136220 147590 206626 295180 413252 516565 723191 1033130 1446382 2051501 2066260 2892764 3615955 4103002 7231910 8206004 10257505 14360507 14463820 20515010 28721014 41030020 57442028 71802535 100523549 143605070 201047098 287210140 402094196 502617745 1005235490 2010470980