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78112 = 252441
BaseRepresentation
bin10011000100100000
310222011001
4103010200
54444422
61401344
7443506
oct230440
9128131
1078112
1153761
1239254
1329728
1420676
1518227
hex13120

78112 has 12 divisors (see below), whose sum is σ = 153846. Its totient is φ = 39040.

The previous prime is 78101. The next prime is 78121. The reversal of 78112 is 21187.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 1936 = 276^2 + 44^2 .

It is a super-2 number, since 2×781122 = 12202969088, which contains 22 as substring.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 78112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1189 + ... + 1252.

278112 is an apocalyptic number.

It is an amenable number.

78112 is a deficient number, since it is larger than the sum of its proper divisors (75734).

78112 is a wasteful number, since it uses less digits than its factorization.

78112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2443 counting only the distinct ones).

The product of its digits is 112, while the sum is 19.

The square root of 78112 is about 279.4852411130. The cubic root of 78112 is about 42.7470273687.

Adding to 78112 its reverse (21187), we get a palindrome (99299).

It can be divided in two parts, 78 and 112, that added together give a triangular number (190 = T19).

The spelling of 78112 in words is "seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 2441 4882 9764 19528 39056 78112