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86690520 = 23335711467
BaseRepresentation
bin1010010101011…
…00101011011000
320001010100001000
411022230223120
5134143044040
612334025000
72101600020
oct512545330
9201110030
1086690520
1144a30964
1225048160
1314c63787
14b728a80
157926130
hex52acad8

86690520 has 128 divisors (see below), whose sum is σ = 330278400. Its totient is φ = 19813248.

The previous prime is 86690509. The next prime is 86690551. The reversal of 86690520 is 2509668.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1827 + ... + 13293.

It is an arithmetic number, because the mean of its divisors is an integer number (2580300).

Almost surely, 286690520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86690520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165139200).

86690520 is an abundant number, since it is smaller than the sum of its proper divisors (243587880).

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

86690520 is a wasteful number, since it uses less digits than its factorization.

86690520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494 (or 11484 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 86690520 is about 9310.7744038828. The cubic root of 86690520 is about 442.5787277331.

The spelling of 86690520 in words is "eighty-six million, six hundred ninety thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 11467 22934 34401 45868 57335 68802 80269 91736 103203 114670 137604 160538 172005 206406 229340 240807 275208 309609 321076 344010 401345 412812 458680 481614 516015 619218 642152 688020 722421 802690 825624 963228 1032030 1204035 1238436 1376040 1444842 1548045 1605380 1926456 2064060 2167263 2408070 2476872 2889684 3096090 3210760 3612105 4128120 4334526 4816140 5779368 6192180 7224210 8669052 9632280 10836315 12384360 14448420 17338104 21672630 28896840 43345260 86690520