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78106 = 272797
BaseRepresentation
bin10011000100011010
310222010211
4103010122
54444411
61401334
7443500
oct230432
9128124
1078106
1153756
123924a
1329722
1420670
1518221
hex1311a

78106 has 12 divisors (see below), whose sum is σ = 136458. Its totient is φ = 33432.

The previous prime is 78101. The next prime is 78121. The reversal of 78106 is 60187.

It can be written as a sum of positive squares in only one way, i.e., 67081 + 11025 = 259^2 + 105^2 .

It is a super-2 number, since 2×781062 = 12201094472, which contains 22 as substring.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (78101) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 301 + ... + 496.

278106 is an apocalyptic number.

78106 is a deficient number, since it is larger than the sum of its proper divisors (58352).

78106 is a wasteful number, since it uses less digits than its factorization.

78106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 78106 is about 279.4745068875. The cubic root of 78106 is about 42.7459328347.

The spelling of 78106 in words is "seventy-eight thousand, one hundred six".

Divisors: 1 2 7 14 49 98 797 1594 5579 11158 39053 78106