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86125830 = 23572411429
BaseRepresentation
bin1010010001000…
…10110100000110
320000001122102120
411020202310012
5134022011310
612313550410
72064025500
oct510426406
9200048376
1086125830
114468567a
1224a15406
1314ac673b
14b61cd70
157863b70
hex5222d06

86125830 has 96 divisors (see below), whose sum is σ = 246486240. Its totient is φ = 19192320.

The previous prime is 86125817. The next prime is 86125847. The reversal of 86125830 is 3852168.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86125791 and 86125800.

It is a congruent number.

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, 59556 + ... + 60984.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 286125830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86125830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123243120).

86125830 is an abundant number, since it is smaller than the sum of its proper divisors (160360410).

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

86125830 is a wasteful number, since it uses less digits than its factorization.

86125830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 86125830 is about 9280.4003146416. The cubic root of 86125830 is about 441.6156681750.

Adding to 86125830 its reverse (3852168), we get a palindrome (89977998).

The spelling of 86125830 in words is "eighty-six million, one hundred twenty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 49 70 82 98 105 123 147 205 210 245 246 287 294 410 490 574 615 735 861 1230 1429 1435 1470 1722 2009 2858 2870 4018 4287 4305 6027 7145 8574 8610 10003 10045 12054 14290 20006 20090 21435 30009 30135 42870 50015 58589 60018 60270 70021 100030 117178 140042 150045 175767 210063 292945 300090 350105 351534 410123 420126 585890 700210 820246 878835 1050315 1230369 1757670 2050615 2100630 2460738 2870861 4101230 5741722 6151845 8612583 12303690 14354305 17225166 28708610 43062915 86125830