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102078 = 23253107
BaseRepresentation
bin11000111010111110
312012000200
4120322332
511231303
62104330
7603414
oct307276
9165020
10102078
116a769
124b0a6
1337602
14292b4
15203a3
hex18ebe

102078 has 24 divisors (see below), whose sum is σ = 227448. Its totient is φ = 33072.

The previous prime is 102077. The next prime is 102079. The reversal of 102078 is 870201.

It is an interprime number because it is at equal distance from previous prime (102077) and next prime (102079).

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

It is a self number, because there is not a number n which added to its sum of digits gives 102078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102071) 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 11 ways as a sum of consecutive naturals, for example, 901 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (9477).

2102078 is an apocalyptic number.

102078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102078 is an abundant number, since it is smaller than the sum of its proper divisors (125370).

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

102078 is a wasteful number, since it uses less digits than its factorization.

102078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 102078 is about 319.4964788538. The cubic root of 102078 is about 46.7351941065.

102078 divided by its sum of digits (18) gives a triangular number (5671 = T106).

Adding to 102078 its reverse (870201), we get a palindrome (972279).

The spelling of 102078 in words is "one hundred two thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 53 106 107 159 214 318 321 477 642 954 963 1926 5671 11342 17013 34026 51039 102078