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89960040 = 23325283883
BaseRepresentation
bin1010101110010…
…10111001101000
320021021102222100
411113022321220
5141012210130
612532053400
72141435112
oct527127150
9207242870
1089960040
1146864345
1226164260
13158399c1
14bd3a3b2
157d6ec60
hex55cae68

89960040 has 96 divisors (see below), whose sum is σ = 293735520. Its totient is φ = 23877504.

The previous prime is 89960033. The next prime is 89960071. The reversal of 89960040 is 4006998.

89960040 is a `hidden beast` number, since 8 + 9 + 9 + 600 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 89959977 and 89960004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101439 + ... + 102321.

It is an arithmetic number, because the mean of its divisors is an integer number (3059745).

Almost surely, 289960040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89960040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146867760).

89960040 is an abundant number, since it is smaller than the sum of its proper divisors (203775480).

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

89960040 is a wasteful number, since it uses less digits than its factorization.

89960040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 89960040 is about 9484.7266697570. The cubic root of 89960040 is about 448.0741400470.

The spelling of 89960040 in words is "eighty-nine million, nine hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 283 360 566 849 883 1132 1415 1698 1766 2264 2547 2649 2830 3396 3532 4245 4415 5094 5298 5660 6792 7064 7947 8490 8830 10188 10596 11320 12735 13245 15894 16980 17660 20376 21192 25470 26490 31788 33960 35320 39735 50940 52980 63576 79470 101880 105960 158940 249889 317880 499778 749667 999556 1249445 1499334 1999112 2249001 2498890 2998668 3748335 4498002 4997780 5997336 7496670 8996004 9995560 11245005 14993340 17992008 22490010 29986680 44980020 89960040