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89136 = 2432619
BaseRepresentation
bin10101110000110000
311112021100
4111300300
510323021
61524400
7520605
oct256060
9145240
1089136
1160a73
1243700
1331758
14246ac
151b626
hex15c30

89136 has 30 divisors (see below), whose sum is σ = 249860. Its totient is φ = 29664.

The previous prime is 89123. The next prime is 89137. The reversal of 89136 is 63198.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (89137) 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, 166 + ... + 453.

289136 is an apocalyptic number.

It is an amenable number.

89136 is an abundant number, since it is smaller than the sum of its proper divisors (160724).

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

89136 is a wasteful number, since it uses less digits than its factorization.

89136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 89136 is about 298.5565273110. The cubic root of 89136 is about 44.6701811546.

It can be divided in two parts, 89 and 136, that added together give a square (225 = 152).

The spelling of 89136 in words is "eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 619 1238 1857 2476 3714 4952 5571 7428 9904 11142 14856 22284 29712 44568 89136