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85697080 = 23572231901
BaseRepresentation
bin1010001101110…
…10001000111000
312222020212021221
411012322020320
5133414301310
612300441424
72060261500
oct506721070
9188225257
1085697080
1144412537
1224849274
13149a6541
14b54aa00
1577cbada
hex51ba238

85697080 has 96 divisors (see below), whose sum is σ = 234174240. Its totient is φ = 28089600.

The previous prime is 85697063. The next prime is 85697141. The reversal of 85697080 is 8079658.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44130 + ... + 46030.

It is an arithmetic number, because the mean of its divisors is an integer number (2439315).

Almost surely, 285697080 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 85697080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117087120).

85697080 is an abundant number, since it is smaller than the sum of its proper divisors (148477160).

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

85697080 is a wasteful number, since it uses less digits than its factorization.

85697080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 85697080 is about 9257.2717363163. The cubic root of 85697080 is about 440.8816344800.

The spelling of 85697080 in words is "eighty-five million, six hundred ninety-seven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 56 70 92 98 115 140 161 184 196 230 245 280 322 392 460 490 644 805 920 980 1127 1288 1610 1901 1960 2254 3220 3802 4508 5635 6440 7604 9016 9505 11270 13307 15208 19010 22540 26614 38020 43723 45080 53228 66535 76040 87446 93149 106456 133070 174892 186298 218615 266140 306061 349784 372596 437230 465745 532280 612122 745192 874460 931490 1224244 1530305 1748920 1862980 2142427 2448488 3060610 3725960 4284854 6121220 8569708 10712135 12242440 17139416 21424270 42848540 85697080