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86118500 = 22531313249
BaseRepresentation
bin1010010001000…
…01000001100100
320000001021101002
411020201001210
5134021243000
612313452432
72063665226
oct510410144
9200037332
1086118500
1144680116
1224a11118
1314ac32c0
14b61a416
1578618d5
hex5221064

86118500 has 48 divisors (see below), whose sum is σ = 202566000. Its totient is φ = 31795200.

The previous prime is 86118493. The next prime is 86118503. The reversal of 86118500 is 581168.

It can be written as a sum of positive squares in 8 ways, for example, as 55026724 + 31091776 = 7418^2 + 5576^2 .

It is not an unprimeable number, because it can be changed into a prime (86118503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125 + ... + 13124.

It is an arithmetic number, because the mean of its divisors is an integer number (4220125).

Almost surely, 286118500 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 86118500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101283000).

86118500 is an abundant number, since it is smaller than the sum of its proper divisors (116447500).

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

86118500 is a wasteful number, since it uses less digits than its factorization.

86118500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13281 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 86118500 is about 9280.0053879295. The cubic root of 86118500 is about 441.6031394726.

Adding to 86118500 its reverse (581168), we get a palindrome (86699668).

The spelling of 86118500 in words is "eighty-six million, one hundred eighteen thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 13249 26498 52996 66245 132490 172237 264980 331225 344474 662450 688948 861185 1324900 1656125 1722370 3312250 3444740 4305925 6624500 8611850 17223700 21529625 43059250 86118500