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85297740 = 223511231379
BaseRepresentation
bin1010001010110…
…00101001001100
312221111120111120
411011120221030
5133314011430
612244120540
72054006313
oct505305114
9187446446
1085297740
114416a500
1224696150
1314896848
14b48527a
15774d610
hex5158a4c

85297740 has 144 divisors (see below), whose sum is σ = 271703040. Its totient is φ = 19958400.

The previous prime is 85297739. The next prime is 85297757. The reversal of 85297740 is 4779258.

It is a junction number, because it is equal to n+sod(n) for n = 85297692 and 85297701.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 224871 + ... + 225249.

Almost surely, 285297740 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 85297740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135851520).

85297740 is an abundant number, since it is smaller than the sum of its proper divisors (186405300).

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

85297740 is a wasteful number, since it uses less digits than its factorization.

85297740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 85297740 is about 9235.6775604175. The cubic root of 85297740 is about 440.1957462373.

The spelling of 85297740 in words is "eighty-five million, two hundred ninety-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 220 242 310 330 341 363 372 379 465 484 605 620 660 682 726 758 930 1023 1137 1210 1364 1452 1516 1705 1815 1860 1895 2046 2274 2420 3410 3630 3751 3790 4092 4169 4548 5115 5685 6820 7260 7502 7580 8338 10230 11253 11370 11749 12507 15004 16676 18755 20460 20845 22506 22740 23498 25014 35247 37510 41690 45012 45859 46996 50028 56265 58745 62535 70494 75020 83380 91718 112530 117490 125070 129239 137577 140988 176235 183436 225060 229295 234980 250140 258478 275154 352470 387717 458590 516956 550308 646195 687885 704940 775434 917180 1292390 1375770 1421629 1550868 1938585 2584780 2751540 2843258 3877170 4264887 5686516 7108145 7754340 8529774 14216290 17059548 21324435 28432580 42648870 85297740