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1042325040 = 243523188827
BaseRepresentation
bin111110001000001…
…001111000110000
32200122022121011010
4332020021320300
54113313400130
6251232350520
734554421341
oct7610117060
92618277133
101042325040
11495402259
122510a5440
13137c390a3
149c6080c8
15617920b0
hex3e209e30

1042325040 has 80 divisors (see below), whose sum is σ = 3371712768. Its totient is φ = 265867008.

The previous prime is 1042325027. The next prime is 1042325051. The reversal of 1042325040 is 405232401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10423250402 = 2172882978022003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1042324998 and 1042325016.

It is an unprimeable number.

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, 88894 + ... + 99933.

Almost surely, 21042325040 is an apocalyptic number.

1042325040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042325040 is an abundant number, since it is smaller than the sum of its proper divisors (2329387728).

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

1042325040 is a wasteful number, since it uses less digits than its factorization.

1042325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188866 (or 188860 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1042325040 is about 32285.0590831115. The cubic root of 1042325040 is about 1013.9138534629.

Adding to 1042325040 its reverse (405232401), we get a palindrome (1447557441).

The spelling of 1042325040 in words is "one billion, forty-two million, three hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 188827 377654 566481 755308 944135 1132962 1510616 1888270 2265924 2832405 3021232 3776540 4343021 4531848 5664810 7553080 8686042 9063696 11329620 13029063 15106160 17372084 21715105 22659240 26058126 34744168 43430210 45318480 52116252 65145315 69488336 86860420 104232504 130290630 173720840 208465008 260581260 347441680 521162520 1042325040