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85094240 = 2557116907
BaseRepresentation
bin1010001001001…
…10111101100000
312221010020100112
411010212331200
5133241003430
612235510452
72052201110
oct504467540
9187106315
1085094240
1144040620
12245b8428
131482502a
14b431040
15770d195
hex5126f60

85094240 has 96 divisors (see below), whose sum is σ = 250677504. Its totient is φ = 26519040.

The previous prime is 85094239. The next prime is 85094249. The reversal of 85094240 is 4249058.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 85094197 and 85094206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85094249) 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, 8867 + ... + 15773.

It is an arithmetic number, because the mean of its divisors is an integer number (2611224).

Almost surely, 285094240 is an apocalyptic number.

85094240 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 85094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125338752).

85094240 is an abundant number, since it is smaller than the sum of its proper divisors (165583264).

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

85094240 is a wasteful number, since it uses less digits than its factorization.

85094240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 85094240 is about 9224.6539230477. The cubic root of 85094240 is about 439.8454002312.

The spelling of 85094240 in words is "eighty-five million, ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 6907 12320 13814 27628 34535 48349 55256 69070 75977 96698 110512 138140 151954 193396 221024 241745 276280 303908 379885 386792 483490 531839 552560 607816 759770 773584 966980 1063678 1105120 1215632 1519540 1547168 1933960 2127356 2431264 2659195 3039080 3867920 4254712 5318390 6078160 7735840 8509424 10636780 12156320 17018848 21273560 42547120 85094240