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89040 = 2435753
BaseRepresentation
bin10101101111010000
311112010210
4111233100
510322130
61524120
7520410
oct255720
9145123
1089040
1160996
1243640
13316b3
1424640
151b5b0
hex15bd0

89040 has 80 divisors (see below), whose sum is σ = 321408. Its totient is φ = 19968.

The previous prime is 89021. The next prime is 89041. The reversal of 89040 is 4098.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 88998 and 89016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654 + ... + 1706.

289040 is an apocalyptic number.

89040 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 89040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704).

89040 is an abundant number, since it is smaller than the sum of its proper divisors (232368).

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

89040 is a wasteful number, since it uses less digits than its factorization.

89040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 89040 is about 298.3957104249. The cubic root of 89040 is about 44.6541387107.

The spelling of 89040 in words is "eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 636 742 795 840 848 1060 1113 1272 1484 1590 1680 1855 2120 2226 2544 2968 3180 3710 4240 4452 5565 5936 6360 7420 8904 11130 12720 14840 17808 22260 29680 44520 89040