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86606364 = 22313173113
BaseRepresentation
bin1010010100110…
…00001000011100
320000222001121010
411022120020130
5134132400424
612332135220
72101066455
oct512301034
9200861533
1086606364
1144983709
1225007510
1314c34390
14b70612c
15790b229
hex529821c

86606364 has 96 divisors (see below), whose sum is σ = 233271360. Its totient is φ = 24858624.

The previous prime is 86606363. The next prime is 86606369. The reversal of 86606364 is 46360668.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86606363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766372 + ... + 766484.

It is an arithmetic number, because the mean of its divisors is an integer number (2429910).

Almost surely, 286606364 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 86606364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116635680).

86606364 is an abundant number, since it is smaller than the sum of its proper divisors (146664996).

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

86606364 is a wasteful number, since it uses less digits than its factorization.

86606364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 86606364 is about 9306.2540261912. The cubic root of 86606364 is about 442.4354682620.

The spelling of 86606364 in words is "eighty-six million, six hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 113 156 204 221 226 289 339 442 452 578 663 678 867 884 1156 1326 1356 1469 1734 1921 2652 2938 3468 3757 3842 4407 4913 5763 5876 7514 7684 8814 9826 11271 11526 14739 15028 17628 19652 22542 23052 24973 29478 32657 45084 49946 58956 63869 65314 74919 97971 99892 127738 130628 149838 191607 195942 255476 299676 383214 391884 424541 555169 766428 849082 1110338 1273623 1665507 1698164 2220676 2547246 3331014 5094492 6662028 7217197 14434394 21651591 28868788 43303182 86606364