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86818104 = 23323197401
BaseRepresentation
bin1010010110010…
…11110100111000
320001100211001100
411023023310320
5134211134404
612340451400
72102641002
oct513136470
9201324040
1086818104
11450087aa
12250a9b60
1314ca9879
14b75d372
15794dd39
hex52cbd38

86818104 has 96 divisors (see below), whose sum is σ = 245831040. Its totient is φ = 27648000.

The previous prime is 86818103. The next prime is 86818117. The reversal of 86818104 is 40181868.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86818103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216304 + ... + 216704.

It is an arithmetic number, because the mean of its divisors is an integer number (2560740).

Almost surely, 286818104 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 86818104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122915520).

86818104 is an abundant number, since it is smaller than the sum of its proper divisors (159012936).

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

86818104 is a wasteful number, since it uses less digits than its factorization.

86818104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 86818104 is about 9317.6233021088. The cubic root of 86818104 is about 442.7957383373.

The spelling of 86818104 in words is "eighty-six million, eight hundred eighteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 97 124 186 194 248 279 291 372 388 401 558 582 744 776 802 873 1116 1164 1203 1604 1746 2232 2328 2406 3007 3208 3492 3609 4812 6014 6984 7218 9021 9624 12028 12431 14436 18042 24056 24862 27063 28872 36084 37293 38897 49724 54126 72168 74586 77794 99448 108252 111879 116691 149172 155588 216504 223758 233382 298344 311176 350073 447516 466764 700146 895032 933528 1205807 1400292 2411614 2800584 3617421 4823228 7234842 9646456 10852263 14469684 21704526 28939368 43409052 86818104