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86522730 = 2357271829
BaseRepresentation
bin1010010100000…
…11101101101010
320000210210212120
411022003231222
5134122211410
612330252110
72100300600
oct512035552
9200723776
1086522730
1144926898
1224b87036
1314c052a8
14b6c3870
1578e1570
hex5283b6a

86522730 has 96 divisors (see below), whose sum is σ = 245255040. Its totient is φ = 19474560.

The previous prime is 86522729. The next prime is 86522743. The reversal of 86522730 is 3722568.

It is a junction number, because it is equal to n+sod(n) for n = 86522691 and 86522700.

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 47 ways as a sum of consecutive naturals, for example, 103956 + ... + 104784.

It is an arithmetic number, because the mean of its divisors is an integer number (2554740).

Almost surely, 286522730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86522730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122627520).

86522730 is an abundant number, since it is smaller than the sum of its proper divisors (158732310).

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

86522730 is a wasteful number, since it uses less digits than its factorization.

86522730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 86522730 is about 9301.7595109743. The cubic root of 86522730 is about 442.2930054238.

The spelling of 86522730 in words is "eighty-six million, five hundred twenty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 71 98 105 142 147 210 213 245 294 355 426 490 497 710 735 829 994 1065 1470 1491 1658 2130 2485 2487 2982 3479 4145 4970 4974 5803 6958 7455 8290 10437 11606 12435 14910 17395 17409 20874 24870 29015 34790 34818 40621 52185 58030 58859 81242 87045 104370 117718 121863 174090 176577 203105 243726 294295 353154 406210 412013 588590 609315 824026 882885 1218630 1236039 1765770 2060065 2472078 2884091 4120130 5768182 6180195 8652273 12360390 14420455 17304546 28840910 43261365 86522730