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89076 = 22313571
BaseRepresentation
bin10101101111110100
311112012010
4111233310
510322301
61524220
7520461
oct255764
9145163
1089076
1160a19
1243670
1331710
1424668
151b5d6
hex15bf4

89076 has 24 divisors (see below), whose sum is σ = 224224. Its totient is φ = 27360.

The previous prime is 89071. The next prime is 89083. The reversal of 89076 is 67098.

It is a happy number.

89076 is nontrivially palindromic in base 5.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89076.

It is not an unprimeable number, because it can be changed into a prime (89071) by changing a digit.

89076 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 441.

289076 is an apocalyptic number.

It is an amenable number.

89076 is an abundant number, since it is smaller than the sum of its proper divisors (135148).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112112).

89076 is a wasteful number, since it uses less digits than its factorization.

89076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 89076 is about 298.4560269118. The cubic root of 89076 is about 44.6601559778.

The spelling of 89076 in words is "eighty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 571 1142 1713 2284 3426 6852 7423 14846 22269 29692 44538 89076