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102060 = 223657
BaseRepresentation
bin11000111010101100
312012000000
4120322230
511231220
62104300
7603360
oct307254
9165000
10102060
116a752
124b090
13375ba
14292a0
1520390
hex18eac

102060 has 84 divisors (see below), whose sum is σ = 367248. Its totient is φ = 23328.

The previous prime is 102059. The next prime is 102061. The reversal of 102060 is 60201.

102060 = T71 + T72 + ... + T98.

It is an interprime number because it is at equal distance from previous prime (102059) and next prime (102061).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102061) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14577 + ... + 14583.

It is an arithmetic number, because the mean of its divisors is an integer number (4372).

2102060 is an apocalyptic number.

102060 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 102060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183624).

102060 is an abundant number, since it is smaller than the sum of its proper divisors (265188).

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

102060 is an equidigital number, since it uses as much as digits as its factorization.

102060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102060 is about 319.4683082874. The cubic root of 102060 is about 46.7324469167.

Adding to 102060 its reverse (60201), we get a palindrome (162261).

The spelling of 102060 in words is "one hundred two thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 729 756 810 945 972 1134 1215 1260 1458 1620 1701 1890 2268 2430 2835 2916 3402 3645 3780 4860 5103 5670 6804 7290 8505 10206 11340 14580 17010 20412 25515 34020 51030 102060