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2031240040 = 235294142709
BaseRepresentation
bin111100100010010…
…0100001101101000
312020120010200111121
41321010210031220
513124444140130
6533320305024
7101223153424
oct17104441550
95216120447
102031240040
11952644785
12488312174
13264a948ab
14153aabb84
15bd4d3d7a
hex79124368

2031240040 has 64 divisors (see below), whose sum is σ = 4843314000. Its totient is φ = 765327360.

The previous prime is 2031240017. The next prime is 2031240041. The reversal of 2031240040 is 400421302.

It can be written as a sum of positive squares in 8 ways, for example, as 182412036 + 1848828004 = 13506^2 + 42998^2 .

It is a super-2 number, since 2×20312400402 = 8251872200198403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2031239996 and 2031240023.

It is not an unprimeable number, because it can be changed into a prime (2031240041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26206 + ... + 68914.

Almost surely, 22031240040 is an apocalyptic number.

2031240040 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 2031240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421657000).

2031240040 is an abundant number, since it is smaller than the sum of its proper divisors (2812073960).

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

2031240040 is a wasteful number, since it uses less digits than its factorization.

2031240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42790 (or 42786 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2031240040 is about 45069.2804468853. The cubic root of 2031240040 is about 1266.4471848092.

Adding to 2031240040 its reverse (400421302), we get a palindrome (2431661342).

The spelling of 2031240040 in words is "two billion, thirty-one million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 4756 5945 9512 11890 23780 42709 47560 85418 170836 213545 341672 427090 854180 1238561 1708360 1751069 2477122 3502138 4954244 6192805 7004276 8755345 9908488 12385610 14008552 17510690 24771220 35021380 49542440 50781001 70042760 101562002 203124004 253905005 406248008 507810010 1015620020 2031240040