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86320332 = 22327834127
BaseRepresentation
bin1010010010100…
…10010011001100
320000102112020100
411021102103030
5134044222312
612322051100
72065465530
oct511222314
9200375210
1086320332
11447a881a
1224aa9a90
1314b64127
14b66dbc0
1578a15dc
hex52524cc

86320332 has 72 divisors (see below), whose sum is σ = 252435456. Its totient is φ = 24359904.

The previous prime is 86320303. The next prime is 86320343. The reversal of 86320332 is 23302368.

86320332 is a `hidden beast` number, since 8 + 6 + 320 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86320296 and 86320305.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18853 + ... + 22979.

It is an arithmetic number, because the mean of its divisors is an integer number (3506048).

Almost surely, 286320332 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 86320332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126217728).

86320332 is an abundant number, since it is smaller than the sum of its proper divisors (166115124).

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

86320332 is a wasteful number, since it uses less digits than its factorization.

86320332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 86320332 is about 9290.8735864826. The cubic root of 86320332 is about 441.9478586896.

The spelling of 86320332 in words is "eighty-six million, three hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1743 2324 2988 3486 4127 5229 6972 8254 10458 12381 16508 20916 24762 28889 37143 49524 57778 74286 86667 115556 148572 173334 260001 342541 346668 520002 685082 1027623 1040004 1370164 2055246 2397787 3082869 4110492 4795574 6165738 7193361 9591148 12331476 14386722 21580083 28773444 43160166 86320332