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86660000 = 25547619
BaseRepresentation
bin1010010101001…
…01001110100000
320001001210011122
411022211032200
5134141110000
612333231412
72101412030
oct512451640
9201053148
1086660000
1144a0aa39
1225032568
1314c5290b
14b71b8c0
15791c085
hex52a53a0

86660000 has 120 divisors (see below), whose sum is σ = 244046880. Its totient is φ = 29664000.

The previous prime is 86659987. The next prime is 86660003. The reversal of 86660000 is 6668.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (86660003) 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 19 ways as a sum of consecutive naturals, for example, 139691 + ... + 140309.

It is an arithmetic number, because the mean of its divisors is an integer number (2033724).

Almost surely, 286660000 is an apocalyptic number.

86660000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122023440).

86660000 is an abundant number, since it is smaller than the sum of its proper divisors (157386880).

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

86660000 is an equidigital number, since it uses as much as digits as its factorization.

86660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 86660000 is about 9309.1352981896. The cubic root of 86660000 is about 442.5267839981.

Adding to 86660000 its reverse (6668), we get a palindrome (86666668).

The spelling of 86660000 in words is "eighty-six million, six hundred sixty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 619 625 700 800 875 1000 1120 1238 1250 1400 1750 2000 2476 2500 2800 3095 3500 4000 4333 4375 4952 5000 5600 6190 7000 8666 8750 9904 10000 12380 14000 15475 17332 17500 19808 20000 21665 24760 28000 30950 34664 35000 43330 49520 61900 69328 70000 77375 86660 99040 108325 123800 138656 140000 154750 173320 216650 247600 309500 346640 386875 433300 495200 541625 619000 693280 773750 866600 1083250 1238000 1547500 1733200 2166500 2476000 2708125 3095000 3466400 4333000 5416250 6190000 8666000 10832500 12380000 17332000 21665000 43330000 86660000