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89230240 = 255113419
BaseRepresentation
bin1010101000110…
…00101110100000
320012220100212201
411110120232200
5140320331430
612504302544
72132305321
oct524305640
9205810781
1089230240
1146406000
1225a71a54
1315642778
14bbca448
157c788ca
hex5518ba0

89230240 has 96 divisors (see below), whose sum is σ = 232424640. Its totient is φ = 32369920.

The previous prime is 89230237. The next prime is 89230241. The reversal of 89230240 is 4203298.

It is a junction number, because it is equal to n+sod(n) for n = 89230199 and 89230208.

It is not an unprimeable number, because it can be changed into a prime (89230241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212751 + ... + 213169.

It is an arithmetic number, because the mean of its divisors is an integer number (2421090).

Almost surely, 289230240 is an apocalyptic number.

89230240 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 89230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116212320).

89230240 is an abundant number, since it is smaller than the sum of its proper divisors (143194400).

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

89230240 is a wasteful number, since it uses less digits than its factorization.

89230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 89230240 is about 9446.1759458524. The cubic root of 89230240 is about 446.8591828721.

The spelling of 89230240 in words is "eighty-nine million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 419 440 484 605 838 880 968 1210 1331 1676 1760 1936 2095 2420 2662 3352 3872 4190 4609 4840 5324 6655 6704 8380 9218 9680 10648 13310 13408 16760 18436 19360 21296 23045 26620 33520 36872 42592 46090 50699 53240 67040 73744 92180 101398 106480 147488 184360 202796 212960 253495 368720 405592 506990 557689 737440 811184 1013980 1115378 1622368 2027960 2230756 2788445 4055920 4461512 5576890 8111840 8923024 11153780 17846048 22307560 44615120 89230240