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85660704 = 25322831051
BaseRepresentation
bin1010001101100…
…01010000100000
312222012000101200
411012301100200
5133412120304
612300001200
72060050443
oct506612040
9188160350
1085660704
1144398178
1224830200
1314992b0c
14b53b65a
1577c0e39
hex51b1420

85660704 has 72 divisors (see below), whose sum is σ = 244690992. Its totient is φ = 28425600.

The previous prime is 85660703. The next prime is 85660709. The reversal of 85660704 is 40706658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85660703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80979 + ... + 82029.

It is an arithmetic number, because the mean of its divisors is an integer number (3398486).

Almost surely, 285660704 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 85660704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122345496).

85660704 is an abundant number, since it is smaller than the sum of its proper divisors (159030288).

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

85660704 is a wasteful number, since it uses less digits than its factorization.

85660704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85660704 is about 9255.3068020461. The cubic root of 85660704 is about 440.8192450340.

The spelling of 85660704 in words is "eighty-five million, six hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 283 288 566 849 1051 1132 1698 2102 2264 2547 3153 3396 4204 4528 5094 6306 6792 8408 9056 9459 10188 12612 13584 16816 18918 20376 25224 27168 33632 37836 40752 50448 75672 81504 100896 151344 297433 302688 594866 892299 1189732 1784598 2379464 2676897 3569196 4758928 5353794 7138392 9517856 10707588 14276784 21415176 28553568 42830352 85660704