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2030000040 = 2332527720357
BaseRepresentation
bin111100011111111…
…0101011110101000
312020110210200112200
41320333311132220
513124140000130
6533233540200
7101206500315
oct17077653650
95213720480
102030000040
11951978092
12487a14660
1326474c373
14153867d0c
15bd33b760
hex78ff57a8

2030000040 has 96 divisors (see below), whose sum is σ = 6621643080. Its totient is φ = 539352576.

The previous prime is 2030000023. The next prime is 2030000047. The reversal of 2030000040 is 400000302.

It can be written as a sum of positive squares in 4 ways, for example, as 1382501124 + 647498916 = 37182^2 + 25446^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2029999977 and 2030000031.

It is not an unprimeable number, because it can be changed into a prime (2030000047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89542 + ... + 109898.

Almost surely, 22030000040 is an apocalyptic number.

2030000040 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 2030000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310821540).

2030000040 is an abundant number, since it is smaller than the sum of its proper divisors (4591643040).

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

2030000040 is a wasteful number, since it uses less digits than its factorization.

2030000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20651 (or 20644 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2030000040 is about 45055.5217481720. The cubic root of 2030000040 is about 1266.1894253219.

Adding to 2030000040 its reverse (400000302), we get a palindrome (2430000342).

The spelling of 2030000040 in words is "two billion, thirty million, forty", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 277 360 554 831 1108 1385 1662 2216 2493 2770 3324 4155 4986 5540 6648 8310 9972 11080 12465 16620 19944 20357 24930 33240 40714 49860 61071 81428 99720 101785 122142 162856 183213 203570 244284 305355 366426 407140 488568 610710 732852 814280 916065 1221420 1465704 1832130 2442840 3664260 5638889 7328520 11277778 16916667 22555556 28194445 33833334 45111112 50750001 56388890 67666668 84583335 101500002 112777780 135333336 169166670 203000004 225555560 253750005 338333340 406000008 507500010 676666680 1015000020 2030000040