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86103504 = 24321722069
BaseRepresentation
bin1010010000111…
…01010111010000
320000000111210200
411020131113100
5134020303004
612313255200
72063603424
oct510352720
9200014720
1086103504
114466a923
1224a04500
1314ab9526
14b614b84
15785c239
hex521d5d0

86103504 has 90 divisors (see below), whose sum is σ = 256102470. Its totient is φ = 26999808.

The previous prime is 86103503. The next prime is 86103517. The reversal of 86103504 is 40530168.

It can be written as a sum of positive squares in 3 ways, for example, as 19713600 + 66389904 = 4440^2 + 8148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86103503) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40582 + ... + 42650.

It is an arithmetic number, because the mean of its divisors is an integer number (2845583).

Almost surely, 286103504 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 86103504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128051235).

86103504 is an abundant number, since it is smaller than the sum of its proper divisors (169998966).

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

86103504 is a wasteful number, since it uses less digits than its factorization.

86103504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 86103504 is about 9279.1973790840. The cubic root of 86103504 is about 441.5775055492.

The spelling of 86103504 in words is "eighty-six million, one hundred three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2069 2312 2448 2601 3468 4138 4624 5202 6207 6936 8276 10404 12414 13872 16552 18621 20808 24828 33104 35173 37242 41616 49656 70346 74484 99312 105519 140692 148968 211038 281384 297936 316557 422076 562768 597941 633114 844152 1195882 1266228 1688304 1793823 2391764 2532456 3587646 4783528 5064912 5381469 7175292 9567056 10762938 14350584 21525876 28701168 43051752 86103504