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1687390362 = 232725336097
BaseRepresentation
bin110010010010011…
…1000100010011010
311100121010022102100
41210210320202122
511423432442422
6435234344230
756546403300
oct14444704232
94317108370
101687390362
11796540399
123b112b076
1320b782c48
14120162270
159d2127ac
hex6493889a

1687390362 has 72 divisors (see below), whose sum is σ = 4333276116. Its totient is φ = 473001984.

The previous prime is 1687390343. The next prime is 1687390363. The reversal of 1687390362 is 2630937861.

It can be written as a sum of positive squares in 2 ways, for example, as 1678622841 + 8767521 = 40971^2 + 2961^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1687390363) 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 35 ways as a sum of consecutive naturals, for example, 28698 + ... + 64794.

Almost surely, 21687390362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1687390362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166638058).

1687390362 is an abundant number, since it is smaller than the sum of its proper divisors (2645885754).

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

1687390362 is a wasteful number, since it uses less digits than its factorization.

1687390362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36172 (or 36162 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1687390362 is about 41077.8573199723. The cubic root of 1687390362 is about 1190.5250047916.

The spelling of 1687390362 in words is "one billion, six hundred eighty-seven million, three hundred ninety thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 159 294 318 371 441 477 742 882 954 1113 2226 2597 3339 5194 6678 7791 15582 23373 36097 46746 72194 108291 216582 252679 324873 505358 649746 758037 1516074 1768753 1913141 2274111 3537506 3826282 4548222 5306259 5739423 10612518 11478846 13391987 15918777 17218269 26783974 31837554 34436538 40175961 80351922 93743909 120527883 187487818 241055766 281231727 562463454 843695181 1687390362