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102330 = 2335379
BaseRepresentation
bin11000111110111010
312012101000
4120332322
511233310
62105430
7604224
oct307672
9165330
10102330
116a978
124b276
1337767
1429414
15204c0
hex18fba

102330 has 32 divisors (see below), whose sum is σ = 273600. Its totient is φ = 27216.

The previous prime is 102329. The next prime is 102337. The reversal of 102330 is 33201.

Adding to 102330 its reverse (33201), we get a palindrome (135531).

102330 = T4 + T5 + ... + T84.

It is a happy number.

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 (102337) 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 15 ways as a sum of consecutive naturals, for example, 81 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2102330 is an apocalyptic number.

102330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800).

102330 is an abundant number, since it is smaller than the sum of its proper divisors (171270).

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

102330 is a wasteful number, since it uses less digits than its factorization.

102330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 102330 is about 319.8906063016. The cubic root of 102330 is about 46.7736209000.

The spelling of 102330 in words is "one hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 379 758 1137 1895 2274 3411 3790 5685 6822 10233 11370 17055 20466 34110 51165 102330