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86090420 = 225132631259
BaseRepresentation
bin1010010000110…
…10001010110100
312222222211212002
411020122022310
5134014343140
612313114432
72063520323
oct510321264
9188884762
1086090420
1144661009
12249b8a18
1314ab35a0
14b6100ba
157858415
hex521a2b4

86090420 has 48 divisors (see below), whose sum is σ = 195592320. Its totient is φ = 31641216.

The previous prime is 86090419. The next prime is 86090423. The reversal of 86090420 is 2409068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86090423) 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 15 ways as a sum of consecutive naturals, for example, 67751 + ... + 69009.

It is an arithmetic number, because the mean of its divisors is an integer number (4074840).

Almost surely, 286090420 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 86090420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97796160).

86090420 is an abundant number, since it is smaller than the sum of its proper divisors (109501900).

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

86090420 is a wasteful number, since it uses less digits than its factorization.

86090420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 86090420 is about 9278.4923344259. The cubic root of 86090420 is about 441.5551375367. Note that the first 3 decimals are identical.

Adding to 86090420 its reverse (2409068), we get a palindrome (88499488).

The spelling of 86090420 in words is "eighty-six million, ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 263 526 1052 1259 1315 2518 2630 3419 5036 5260 6295 6838 12590 13676 16367 17095 25180 32734 34190 65468 68380 81835 163670 327340 331117 662234 1324468 1655585 3311170 4304521 6622340 8609042 17218084 21522605 43045210 86090420