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85675940 = 225719311039
BaseRepresentation
bin1010001101101…
…00111110100100
312222012210021222
411012310332210
5133413112230
612300155512
72060143040
oct506647644
9188183258
1085675940
11443a8669
1224838b98
1314999a2c
14b543020
1577c56e5
hex51b4fa4

85675940 has 96 divisors (see below), whose sum is σ = 223641600. Its totient is φ = 26904960.

The previous prime is 85675901. The next prime is 85675949. The reversal of 85675940 is 4957658.

It is a junction number, because it is equal to n+sod(n) for n = 85675891 and 85675900.

It is not an unprimeable number, because it can be changed into a prime (85675949) 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, 81941 + ... + 82979.

It is an arithmetic number, because the mean of its divisors is an integer number (2329600).

Almost surely, 285675940 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 85675940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111820800).

85675940 is an abundant number, since it is smaller than the sum of its proper divisors (137965660).

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

85675940 is a wasteful number, since it uses less digits than its factorization.

85675940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 85675940 is about 9256.1298608004. The cubic root of 85675940 is about 440.8453788525.

The spelling of 85675940 in words is "eighty-five million, six hundred seventy-five thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 62 70 76 95 124 133 140 155 190 217 266 310 380 434 532 589 620 665 868 1039 1085 1178 1330 2078 2170 2356 2660 2945 4123 4156 4340 5195 5890 7273 8246 10390 11780 14546 16492 19741 20615 20780 29092 32209 36365 39482 41230 64418 72730 78964 82460 98705 128836 138187 145460 161045 197410 225463 276374 322090 394820 450926 552748 611971 644180 690935 901852 1127315 1223942 1381870 2254630 2447884 2763740 3059855 4283797 4509260 6119710 8567594 12239420 17135188 21418985 42837970 85675940