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85755740 = 225719103313
BaseRepresentation
bin1010001110010…
…00011101011100
312222100211202112
411013020131130
5133423140430
612302013152
72060624510
oct507103534
9188324675
1085755740
1144452614
12248771b8
13149c7155
14b564140
1577de195
hex51c875c

85755740 has 96 divisors (see below), whose sum is σ = 219448320. Its totient is φ = 27495936.

The previous prime is 85755739. The next prime is 85755773. The reversal of 85755740 is 4755758.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273824 + ... + 274136.

It is an arithmetic number, because the mean of its divisors is an integer number (2285920).

Almost surely, 285755740 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 85755740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109724160).

85755740 is an abundant number, since it is smaller than the sum of its proper divisors (133692580).

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

85755740 is a wasteful number, since it uses less digits than its factorization.

85755740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 41.

The square root of 85755740 is about 9260.4395144075. The cubic root of 85755740 is about 440.9822066271.

The spelling of 85755740 in words is "eighty-five million, seven hundred fifty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 103 133 140 190 206 266 313 380 412 515 532 626 665 721 1030 1252 1330 1442 1565 1957 2060 2191 2660 2884 3130 3605 3914 4382 5947 6260 7210 7828 8764 9785 10955 11894 13699 14420 19570 21910 23788 27398 29735 32239 39140 41629 43820 54796 59470 64478 68495 83258 118940 128956 136990 161195 166516 208145 225673 273980 322390 416290 451346 612541 644780 832580 902692 1128365 1225082 2256730 2450164 3062705 4287787 4513460 6125410 8575574 12250820 17151148 21438935 42877870 85755740