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85951740 = 22357375531
BaseRepresentation
bin1010001111110…
…00010011111100
312222201210121210
411013320103330
5134000423430
612310124420
72062402110
oct507702374
9188653553
1085951740
11445768a6
1224950710
1314a65424
14b5b5740
15782c2b0
hex51f84fc

85951740 has 96 divisors (see below), whose sum is σ = 282530304. Its totient is φ = 19111680.

The previous prime is 85951721. The next prime is 85951741. The reversal of 85951740 is 4715958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85951741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12775 + ... + 18305.

It is an arithmetic number, because the mean of its divisors is an integer number (2943024).

Almost surely, 285951740 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 85951740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141265152).

85951740 is an abundant number, since it is smaller than the sum of its proper divisors (196578564).

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

85951740 is a wasteful number, since it uses less digits than its factorization.

85951740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 85951740 is about 9271.0161255388. The cubic root of 85951740 is about 441.3179149503.

The spelling of 85951740 in words is "eighty-five million, nine hundred fifty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 5531 7770 11062 15540 16593 22124 27655 33186 38717 55310 66372 77434 82965 110620 116151 154868 165930 193585 204647 232302 331860 387170 409294 464604 580755 613941 774340 818588 1023235 1161510 1227882 1432529 2046470 2323020 2455764 2865058 3069705 4092940 4297587 5730116 6139410 7162645 8595174 12278820 14325290 17190348 21487935 28650580 42975870 85951740