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86309120 = 28567429
BaseRepresentation
bin1010010010011…
…11100100000000
320000101221212002
411021033210000
5134043342440
612321523132
72065421042
oct511174400
9200357762
1086309120
11447a0357
1224aa34a8
1314b5bcb1
14b669a92
15789d115
hex524f900

86309120 has 36 divisors (see below), whose sum is σ = 206740380. Its totient is φ = 34523136.

The previous prime is 86309071. The next prime is 86309129. The reversal of 86309120 is 2190368.

It can be written as a sum of positive squares in 2 ways, for example, as 10549504 + 75759616 = 3248^2 + 8704^2 .

It is not an unprimeable number, because it can be changed into a prime (86309129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32435 + ... + 34994.

Almost surely, 286309120 is an apocalyptic number.

86309120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86309120 is an abundant number, since it is smaller than the sum of its proper divisors (120431260).

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

86309120 is an equidigital number, since it uses as much as digits as its factorization.

86309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67450 (or 67436 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 86309120 is about 9290.2701790637. The cubic root of 86309120 is about 441.9287232444.

Adding to 86309120 its reverse (2190368), we get a palindrome (88499488).

The spelling of 86309120 in words is "eighty-six million, three hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 67429 134858 269716 337145 539432 674290 1078864 1348580 2157728 2697160 4315456 5394320 8630912 10788640 17261824 21577280 43154560 86309120