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102832 = 246427
BaseRepresentation
bin11001000110110000
312020001121
4121012300
511242312
62112024
7605542
oct310660
9166047
10102832
1170294
124b614
1337a62
1429692
1520707
hex191b0

102832 has 10 divisors (see below), whose sum is σ = 199268. Its totient is φ = 51408.

The previous prime is 102829. The next prime is 102841. The reversal of 102832 is 238201.

It can be divided in two parts, 1028 and 32, that multiplied together give a triangular number (32896 = T256).

It is a happy number.

102832 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 6427 = 102832 / (1 + 0 + 2 + 8 + 3 + 2).

It is a pancake number, because a pancake can be divided into 102832 parts by 453 straight cuts.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3198 + ... + 3229.

2102832 is an apocalyptic number.

It is an amenable number.

102832 is a deficient number, since it is larger than the sum of its proper divisors (96436).

102832 is an equidigital number, since it uses as much as digits as its factorization.

102832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 102832 is about 320.6742895837. The cubic root of 102832 is about 46.8499819090.

The spelling of 102832 in words is "one hundred two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 6427 12854 25708 51416 102832