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2040332120 = 235298919763
BaseRepresentation
bin111100110011100…
…1111111101011000
312021012020121111022
41321213033331120
513134311111440
6534243222012
7101363352101
oct17147177530
95235217438
102040332120
119577947a2
1248b377908
13266929118
14154d973a8
15be1cccb5
hex799cff58

2040332120 has 64 divisors (see below), whose sum is σ = 4802652000. Its totient is φ = 779097088.

The previous prime is 2040332111. The next prime is 2040332137. The reversal of 2040332120 is 212330402.

It is a super-3 number, since 3×20403321203 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93359 + ... + 113121.

Almost surely, 22040332120 is an apocalyptic number.

2040332120 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 2040332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401326000).

2040332120 is an abundant number, since it is smaller than the sum of its proper divisors (2762319880).

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

2040332120 is a wasteful number, since it uses less digits than its factorization.

2040332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19892 (or 19888 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2040332120 is about 45170.0356431119. The cubic root of 2040332120 is about 1268.3339635218. Note that the first 3 decimals are identical.

Adding to 2040332120 its reverse (212330402), we get a palindrome (2252662522).

The spelling of 2040332120 in words is "two billion, forty million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 89 116 145 178 232 290 356 445 580 712 890 1160 1780 2581 3560 5162 10324 12905 19763 20648 25810 39526 51620 79052 98815 103240 158104 197630 395260 573127 790520 1146254 1758907 2292508 2865635 3517814 4585016 5731270 7035628 8794535 11462540 14071256 17589070 22925080 35178140 51008303 70356280 102016606 204033212 255041515 408066424 510083030 1020166060 2040332120