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86332540 = 22571035987
BaseRepresentation
bin1010010010101…
…01010001111100
320000110010222111
411021111101330
5134100120130
612322223404
72065546240
oct511252174
9200403874
1086332540
1144806a08
1224ab4b64
1314b69858
14b674420
1578a502a
hex525547c

86332540 has 48 divisors (see below), whose sum is σ = 209244672. Its totient is φ = 29307456.

The previous prime is 86332531. The next prime is 86332553. The reversal of 86332540 is 4523368.

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 15 ways as a sum of consecutive naturals, for example, 11427 + ... + 17413.

It is an arithmetic number, because the mean of its divisors is an integer number (4359264).

Almost surely, 286332540 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 86332540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104622336).

86332540 is an abundant number, since it is smaller than the sum of its proper divisors (122912132).

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

86332540 is a wasteful number, since it uses less digits than its factorization.

86332540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 86332540 is about 9291.5305520673. The cubic root of 86332540 is about 441.9686921171.

The spelling of 86332540 in words is "eighty-six million, three hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3605 5987 7210 11974 14420 23948 29935 41909 59870 83818 119740 167636 209545 419090 616661 838180 1233322 2466644 3083305 4316627 6166610 8633254 12333220 17266508 21583135 43166270 86332540