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102396 = 22372353
BaseRepresentation
bin11000111111111100
312012110110
4120333330
511234041
62110020
7604350
oct307774
9165413
10102396
116aa28
124b310
13377b8
1429460
1520516
hex18ffc

102396 has 48 divisors (see below), whose sum is σ = 290304. Its totient is φ = 27456.

The previous prime is 102367. The next prime is 102397. The reversal of 102396 is 693201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102397) by changing a digit.

102396 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 15 ways as a sum of consecutive naturals, for example, 1906 + ... + 1958.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2102396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

102396 is an abundant number, since it is smaller than the sum of its proper divisors (187908).

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

102396 is a wasteful number, since it uses less digits than its factorization.

102396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 102396 is about 319.9937499390. The cubic root of 102396 is about 46.7836746331.

Adding to 102396 its reverse (693201), we get a palindrome (795597).

The spelling of 102396 in words is "one hundred two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 53 69 84 92 106 138 159 161 212 276 318 322 371 483 636 644 742 966 1113 1219 1484 1932 2226 2438 3657 4452 4876 7314 8533 14628 17066 25599 34132 51198 102396