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89280 = 2632531
BaseRepresentation
bin10101110011000000
311112110200
4111303000
510324110
61525200
7521202
oct256300
9145420
1089280
1161094
1243800
1331839
1424772
151b6c0
hex15cc0

89280 has 84 divisors (see below), whose sum is σ = 316992. Its totient is φ = 23040.

The previous prime is 89273. The next prime is 89293. The reversal of 89280 is 8298.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an unprimeable number.

89280 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 11 ways as a sum of consecutive naturals, for example, 2865 + ... + 2895.

289280 is an apocalyptic number.

89280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158496).

89280 is an abundant number, since it is smaller than the sum of its proper divisors (227712).

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

89280 is a wasteful number, since it uses less digits than its factorization.

89280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 89280 is about 298.7975903517. The cubic root of 89280 is about 44.6942232374.

Subtracting from 89280 its sum of digits (27), we obtain a triangular number (89253 = T422).

The spelling of 89280 in words is "eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 64 72 80 90 93 96 120 124 144 155 160 180 186 192 240 248 279 288 310 320 360 372 465 480 496 558 576 620 720 744 930 960 992 1116 1240 1395 1440 1488 1860 1984 2232 2480 2790 2880 2976 3720 4464 4960 5580 5952 7440 8928 9920 11160 14880 17856 22320 29760 44640 89280