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86002641 = 341079923
BaseRepresentation
bin1010010000001…
…00101111010001
312222211101110000
411020010233101
5134004041031
612311200213
72063003364
oct510045721
9188741400
1086002641
114460106a
1224976069
1314a8264a
14b5ca0db
15783c3e6
hex5204bd1

86002641 has 20 divisors (see below), whose sum is σ = 129686832. Its totient is φ = 56793528.

The previous prime is 86002627. The next prime is 86002669. The reversal of 86002641 is 14620068.

It is not a de Polignac number, because 86002641 - 218 = 85740497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86002601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3706 + ... + 13628.

Almost surely, 286002641 is an apocalyptic number.

86002641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

86002641 is a deficient number, since it is larger than the sum of its proper divisors (43684191).

86002641 is a wasteful number, since it uses less digits than its factorization.

86002641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86002641 is about 9273.7608875795. The cubic root of 86002641 is about 441.4050145651.

The spelling of 86002641 in words is "eighty-six million, two thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 107 321 963 2889 8667 9923 29769 89307 267921 803763 1061761 3185283 9555849 28667547 86002641