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102366 = 23211247
BaseRepresentation
bin11000111111011110
312012102100
4120333132
511233431
62105530
7604305
oct307736
9165370
10102366
116aa00
124b2a6
1337794
142943c
15204e6
hex18fde

102366 has 36 divisors (see below), whose sum is σ = 248976. Its totient is φ = 30360.

The previous prime is 102359. The next prime is 102367. The reversal of 102366 is 663201.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102367) by changing a digit.

102366 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2155 + ... + 2201.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

2102366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488).

102366 is an abundant number, since it is smaller than the sum of its proper divisors (146610).

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

102366 is a wasteful number, since it uses less digits than its factorization.

102366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 102366 is about 319.9468705895. The cubic root of 102366 is about 46.7791052901.

Adding to 102366 its reverse (663201), we get a palindrome (765567).

It can be divided in two parts, 10236 and 6, that multiplied together give a palindrome (61416).

The spelling of 102366 in words is "one hundred two thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 121 141 198 242 282 363 423 517 726 846 1034 1089 1551 2178 3102 4653 5687 9306 11374 17061 34122 51183 102366