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2002008740 = 225175888261
BaseRepresentation
bin111011101010100…
…0011101010100100
312011112010120200212
41313111003222210
513100003234430
6530353554552
7100416536114
oct16725035244
95145116625
102002008740
11938099886
1247a575a58
1325b9cb774
1414dc5d044
15bab5cb95
hex77543aa4

2002008740 has 24 divisors (see below), whose sum is σ = 4451526072. Its totient is φ = 753697280.

The previous prime is 2002008731. The next prime is 2002008751. The reversal of 2002008740 is 478002002.

It can be written as a sum of positive squares in 4 ways, for example, as 18731584 + 1983277156 = 4328^2 + 44534^2 .

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, 2943791 + ... + 2944470.

It is an arithmetic number, because the mean of its divisors is an integer number (185480253).

Almost surely, 22002008740 is an apocalyptic number.

2002008740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002008740 is an abundant number, since it is smaller than the sum of its proper divisors (2449517332).

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

2002008740 is a wasteful number, since it uses less digits than its factorization.

2002008740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888287 (or 5888285 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2002008740 is about 44743.8123096367. The cubic root of 2002008740 is about 1260.3427177245.

The spelling of 2002008740 in words is "two billion, two million, eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 5888261 11776522 23553044 29441305 58882610 100100437 117765220 200200874 400401748 500502185 1001004370 2002008740