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86329620 = 223251379467
BaseRepresentation
bin1010010010101…
…00100100010100
320000102222222100
411021110210110
5134100021440
612322202100
72065534566
oct511244424
9200388870
1086329620
11448047a3
1224ab3330
1314b68420
14b673336
1578a4230
hex5254914

86329620 has 144 divisors (see below), whose sum is σ = 286191360. Its totient is φ = 20936448.

The previous prime is 86329619. The next prime is 86329643. The reversal of 86329620 is 2692368.

86329620 is a `hidden beast` number, since 8 + 6 + 3 + 29 + 620 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184627 + ... + 185093.

It is an arithmetic number, because the mean of its divisors is an integer number (1987440).

Almost surely, 286329620 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 86329620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

86329620 is an abundant number, since it is smaller than the sum of its proper divisors (199861740).

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

86329620 is a wasteful number, since it uses less digits than its factorization.

86329620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 86329620 is about 9291.3734183919. The cubic root of 86329620 is about 441.9637092021.

The spelling of 86329620 in words is "eighty-six million, three hundred twenty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 79 90 117 130 156 158 180 195 234 237 260 316 390 395 467 468 474 585 711 780 790 934 948 1027 1170 1185 1401 1422 1580 1868 2054 2335 2340 2370 2802 2844 3081 3555 4108 4203 4670 4740 5135 5604 6071 6162 7005 7110 8406 9243 9340 10270 12142 12324 14010 14220 15405 16812 18213 18486 20540 21015 24284 28020 30355 30810 36426 36893 36972 42030 46215 54639 60710 61620 72852 73786 84060 91065 92430 109278 110679 121420 147572 182130 184465 184860 218556 221358 273195 332037 364260 368930 442716 479609 546390 553395 664074 737860 959218 1092780 1106790 1328148 1438827 1660185 1918436 2213580 2398045 2877654 3320370 4316481 4796090 5755308 6640740 7194135 8632962 9592180 14388270 17265924 21582405 28776540 43164810 86329620