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102660 = 22352959
BaseRepresentation
bin11001000100000100
312012211020
4121010010
511241120
62111140
7605205
oct310404
9165736
10102660
1170148
124b4b0
133795c
14295ac
1520640
hex19104

102660 has 48 divisors (see below), whose sum is σ = 302400. Its totient is φ = 25984.

The previous prime is 102653. The next prime is 102667. The reversal of 102660 is 66201.

It is an interprime number because it is at equal distance from previous prime (102653) and next prime (102667).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102667) by changing a digit.

102660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711 + ... + 1769.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2102660 is an apocalyptic number.

102660 is a gapful number since it is divisible by the number (10) 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 102660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

102660 is an abundant number, since it is smaller than the sum of its proper divisors (199740).

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

102660 is a wasteful number, since it uses less digits than its factorization.

102660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102660 is about 320.4059924533. The cubic root of 102660 is about 46.8238464198.

Adding to 102660 its reverse (66201), we get a palindrome (168861).

The spelling of 102660 in words is "one hundred two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 59 60 87 116 118 145 174 177 236 290 295 348 354 435 580 590 708 870 885 1180 1711 1740 1770 3422 3540 5133 6844 8555 10266 17110 20532 25665 34220 51330 102660