Search a number
-
+
77076 = 22322141
BaseRepresentation
bin10010110100010100
310220201200
4102310110
54431301
61352500
7440466
oct226424
9126650
1077076
11529aa
1238730
132910c
1420136
1517c86
hex12d14

77076 has 18 divisors (see below), whose sum is σ = 194922. Its totient is φ = 25680.

The previous prime is 77069. The next prime is 77081. The reversal of 77076 is 67077.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 900 = 276^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

77076 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 in 5 ways as a sum of consecutive naturals, for example, 1035 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (10829).

277076 is an apocalyptic number.

It is an amenable number.

77076 is an abundant number, since it is smaller than the sum of its proper divisors (117846).

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

77076 is a wasteful number, since it uses less digits than its factorization.

77076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 77076 is about 277.6256472302. The cubic root of 77076 is about 42.5572009484.

Subtracting from 77076 its reverse (67077), we obtain a palindrome (9999).

The spelling of 77076 in words is "seventy-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 2141 4282 6423 8564 12846 19269 25692 38538 77076