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85969380 = 22357792591
BaseRepresentation
bin1010001111111…
…00100111100100
312222202200211010
411013330213210
5134002010010
612310342220
72062504410
oct507744744
9188680733
1085969380
1144589082
122495a970
1314a70473
14b5bbd40
157832620
hex51fc9e4

85969380 has 96 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 19393920.

The previous prime is 85969361. The next prime is 85969381. The reversal of 85969380 is 8396958.

It is not an unprimeable number, because it can be changed into a prime (85969381) 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, 31885 + ... + 34475.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 285969380 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 85969380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

85969380 is an abundant number, since it is smaller than the sum of its proper divisors (192722460).

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

85969380 is a wasteful number, since it uses less digits than its factorization.

85969380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 85969380 is about 9271.9674287607. The cubic root of 85969380 is about 441.3481036567.

The spelling of 85969380 in words is "eighty-five million, nine hundred sixty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 79 84 105 140 158 210 237 316 395 420 474 553 790 948 1106 1185 1580 1659 2212 2370 2591 2765 3318 4740 5182 5530 6636 7773 8295 10364 11060 12955 15546 16590 18137 25910 31092 33180 36274 38865 51820 54411 72548 77730 90685 108822 155460 181370 204689 217644 272055 362740 409378 544110 614067 818756 1023445 1088220 1228134 1432823 2046890 2456268 2865646 3070335 4093780 4298469 5731292 6140670 7164115 8596938 12281340 14328230 17193876 21492345 28656460 42984690 85969380