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861807690 = 232517599547
BaseRepresentation
bin110011010111100…
…010010001001010
32020001122100220100
4303113202101022
53231110321230
6221303310230
730233146602
oct6327422112
92201570810
10861807690
11402516967
1220074b376
131097138a3
1482657c02
15509d5660
hex335e244a

861807690 has 96 divisors (see below), whose sum is σ = 2412970560. Its totient is φ = 212608512.

The previous prime is 861807689. The next prime is 861807733. The reversal of 861807690 is 96708168.

It is a happy number.

It is a super-2 number, since 2×8618076902 = 1485424989086272200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85497 + ... + 95043.

It is an arithmetic number, because the mean of its divisors is an integer number (25135110).

Almost surely, 2861807690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861807690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206485280).

861807690 is an abundant number, since it is smaller than the sum of its proper divisors (1551162870).

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

861807690 is a wasteful number, since it uses less digits than its factorization.

861807690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9636 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 861807690 is about 29356.5612768253. The cubic root of 861807690 is about 951.6343759033.

The spelling of 861807690 in words is "eight hundred sixty-one million, eight hundred seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 59 85 90 102 118 153 170 177 255 295 306 354 510 531 590 765 885 1003 1062 1530 1770 2006 2655 3009 5015 5310 6018 9027 9547 10030 15045 18054 19094 28641 30090 45135 47735 57282 85923 90270 95470 143205 162299 171846 286410 324598 429615 486897 563273 811495 859230 973794 1126546 1460691 1622990 1689819 2434485 2816365 2921382 3379638 4868970 5069457 5632730 7303455 8449095 9575641 10138914 14606910 16898190 19151282 25347285 28726923 47878205 50694570 57453846 86180769 95756410 143634615 172361538 287269230 430903845 861807690