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85097790 = 2345313389
BaseRepresentation
bin1010001001001…
…11110100111110
312221010102020000
411010213310332
5133241112130
612235535130
72052214341
oct504476476
9187112200
1085097790
1144043258
12245ba4a6
131482682b
14b432458
15770e260
hex5127d3e

85097790 has 80 divisors (see below), whose sum is σ = 236269440. Its totient is φ = 21954240.

The previous prime is 85097737. The next prime is 85097791. The reversal of 85097790 is 9779058.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85097791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23416 + ... + 26804.

It is an arithmetic number, because the mean of its divisors is an integer number (2953368).

Almost surely, 285097790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85097790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118134720).

85097790 is an abundant number, since it is smaller than the sum of its proper divisors (151171650).

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

85097790 is a wasteful number, since it uses less digits than its factorization.

85097790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 85097790 is about 9224.8463401837. The cubic root of 85097790 is about 439.8515167026.

The spelling of 85097790 in words is "eighty-five million, ninety-seven thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1674 2511 2790 3389 4185 5022 6778 8370 10167 12555 16945 20334 25110 30501 33890 50835 61002 91503 101670 105059 152505 183006 210118 274509 305010 315177 457515 525295 549018 630354 915030 945531 1050590 1372545 1575885 1891062 2745090 2836593 3151770 4727655 5673186 8509779 9455310 14182965 17019558 28365930 42548895 85097790