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2002984040 = 23597516233
BaseRepresentation
bin111011101100011…
…0001110001101000
312011120222010120002
41313120301301220
513100230442130
6530430522132
7100431040421
oct16730616150
95146863502
102002984040
119386a5612
1247a966348
1325bc80675
14150034648
15baca1b45
hex77631c68

2002984040 has 32 divisors (see below), whose sum is σ = 4553183880. Its totient is φ = 792932352.

The previous prime is 2002984031. The next prime is 2002984043. The reversal of 2002984040 is 404892002.

It can be written as a sum of positive squares in 4 ways, for example, as 1854680356 + 148303684 = 43066^2 + 12178^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2002983994 and 2002984012.

It is not an unprimeable number, because it can be changed into a prime (2002984043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254237 + ... + 261996.

Almost surely, 22002984040 is an apocalyptic number.

2002984040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002984040 is an abundant number, since it is smaller than the sum of its proper divisors (2550199840).

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

2002984040 is a wasteful number, since it uses less digits than its factorization.

2002984040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516341 (or 516337 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2002984040 is about 44754.7096962990. The cubic root of 2002984040 is about 1260.5473476501.

The spelling of 2002984040 in words is "two billion, two million, nine hundred eighty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 516233 1032466 2064932 2581165 4129864 5162330 10324660 20649320 50074601 100149202 200298404 250373005 400596808 500746010 1001492020 2002984040