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89063040 = 2735114217
BaseRepresentation
bin1010100111011…
…11111010000000
320012120212112010
411103233322000
5140300004130
612500532520
72131011003
oct523577200
9205525463
1089063040
1146301420
12259b1140
13155b4631
14bb8553a
157c440b0
hex54efe80

89063040 has 128 divisors (see below), whose sum is σ = 309769920. Its totient is φ = 21585920.

The previous prime is 89063027. The next prime is 89063053. The reversal of 89063040 is 4036098.

It is an interprime number because it is at equal distance from previous prime (89063027) and next prime (89063053).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 89062989 and 89063007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19012 + ... + 23228.

Almost surely, 289063040 is an apocalyptic number.

89063040 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 89063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154884960).

89063040 is an abundant number, since it is smaller than the sum of its proper divisors (220706880).

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

89063040 is a wasteful number, since it uses less digits than its factorization.

89063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 89063040 is about 9437.3216539440. The cubic root of 89063040 is about 446.5798994848.

The spelling of 89063040 in words is "eighty-nine million, sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4217 4224 5280 7040 8434 10560 12651 16868 21085 21120 25302 33736 42170 46387 50604 63255 67472 84340 92774 101208 126510 134944 139161 168680 185548 202416 231935 253020 269888 278322 337360 371096 404832 463870 506040 539776 556644 674720 695805 742192 809664 927740 1012080 1113288 1349440 1391610 1484384 1619328 1855480 2024160 2226576 2698880 2783220 2968768 3710960 4048320 4453152 5566440 5937536 7421920 8096640 8906304 11132880 14843840 17812608 22265760 29687680 44531520 89063040