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2006115140 = 225149673193
BaseRepresentation
bin111011110010010…
…1110001101000100
312011210212012121202
41313210232031010
513102031141030
6531022002032
7100466461121
oct16744561504
95153765552
102006115140
1193a443aa7
1247ba16318
1325c8088a3
1415060b748
15bb1be745
hex7792e344

2006115140 has 24 divisors (see below), whose sum is σ = 4241122200. Its totient is φ = 797059328.

The previous prime is 2006115079. The next prime is 2006115179. The reversal of 2006115140 is 415116002.

It can be written as a sum of positive squares in 4 ways, for example, as 86974276 + 1919140864 = 9326^2 + 43808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333617 + ... + 339576.

It is an arithmetic number, because the mean of its divisors is an integer number (176713425).

Almost surely, 22006115140 is an apocalyptic number.

2006115140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006115140 is an abundant number, since it is smaller than the sum of its proper divisors (2235007060).

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

2006115140 is a wasteful number, since it uses less digits than its factorization.

2006115140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673351 (or 673349 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 2006115140 is about 44789.6767123854. The cubic root of 2006115140 is about 1261.2038423075.

The spelling of 2006115140 in words is "two billion, six million, one hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 673193 1346386 2692772 3365965 6731930 13463860 100305757 200611514 401223028 501528785 1003057570 2006115140