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86236140 = 22352921709
BaseRepresentation
bin1010010001111…
…01101111101100
320000021020202010
411020331233230
5134034024030
612320201220
72064665214
oct510755754
9200236663
1086236140
1144750541
1224a69210
1314b34a03
14b64b244
1578866b0
hex523dbec

86236140 has 72 divisors (see below), whose sum is σ = 250220880. Its totient is φ = 22190336.

The previous prime is 86236099. The next prime is 86236147. The reversal of 86236140 is 4163268.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 86236098 and 86236107.

It is not an unprimeable number, because it can be changed into a prime (86236147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49606 + ... + 51314.

It is an arithmetic number, because the mean of its divisors is an integer number (3475290).

Almost surely, 286236140 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 86236140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125110440).

86236140 is an abundant number, since it is smaller than the sum of its proper divisors (163984740).

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

86236140 is a wasteful number, since it uses less digits than its factorization.

86236140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 86236140 is about 9286.3415832070. The cubic root of 86236140 is about 441.8041282504.

The spelling of 86236140 in words is "eighty-six million, two hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 841 870 1682 1709 1740 2523 3364 3418 4205 5046 5127 6836 8410 8545 10092 10254 12615 16820 17090 20508 25230 25635 34180 49561 50460 51270 99122 102540 148683 198244 247805 297366 495610 594732 743415 991220 1437269 1486830 2874538 2973660 4311807 5749076 7186345 8623614 14372690 17247228 21559035 28745380 43118070 86236140