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86136414 = 23721331727
BaseRepresentation
bin1010010001001…
…01011001011110
320000002011221120
411020211121132
5134022331124
612314111410
72064101400
oct510453136
9200064846
1086136414
1144692621
1224a1b566
1314acb4c0
14b622b70
157866d79
hex522565e

86136414 has 96 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 21954240.

The previous prime is 86136389. The next prime is 86136431. The reversal of 86136414 is 41463168.

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 47 ways as a sum of consecutive naturals, for example, 118119 + ... + 118845.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 286136414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86136414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

86136414 is an abundant number, since it is smaller than the sum of its proper divisors (136946082).

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

86136414 is a wasteful number, since it uses less digits than its factorization.

86136414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 783 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 86136414 is about 9280.9705311460. The cubic root of 86136414 is about 441.6337574783.

The spelling of 86136414 in words is "eighty-six million, one hundred thirty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 98 147 182 186 217 273 294 403 434 546 637 651 727 806 1209 1274 1302 1454 1519 1911 2181 2418 2821 3038 3822 4362 4557 5089 5642 8463 9114 9451 10178 15267 16926 18902 19747 22537 28353 30534 35623 39494 45074 56706 59241 66157 67611 71246 106869 118482 132314 135222 157759 198471 213738 292981 315518 396942 463099 473277 585962 878943 926198 946554 1104313 1389297 1757886 2050867 2208626 2778594 3312939 4101734 6152601 6625878 12305202 14356069 28712138 43068207 86136414