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86601040 = 2455471979
BaseRepresentation
bin1010010100101…
…10110101010000
320000221210021221
411022112311100
5134132213130
612332054424
72101045111
oct512266520
9200853257
1086601040
114497a709
1225004414
1314c31b26
14b704208
15790987a
hex5296d50

86601040 has 40 divisors (see below), whose sum is σ = 201817440. Its totient is φ = 34559616.

The previous prime is 86601037. The next prime is 86601041. The reversal of 86601040 is 4010668.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 86600996 and 86601014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86601041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42771 + ... + 44749.

It is an arithmetic number, because the mean of its divisors is an integer number (5045436).

Almost surely, 286601040 is an apocalyptic number.

86601040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86601040 is an abundant number, since it is smaller than the sum of its proper divisors (115216400).

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

86601040 is a wasteful number, since it uses less digits than its factorization.

86601040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 86601040 is about 9305.9679775937. The cubic root of 86601040 is about 442.4264020510.

The spelling of 86601040 in words is "eighty-six million, six hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 547 1094 1979 2188 2735 3958 4376 5470 7916 8752 9895 10940 15832 19790 21880 31664 39580 43760 79160 158320 1082513 2165026 4330052 5412565 8660104 10825130 17320208 21650260 43300520 86601040