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85042860 = 223571910657
BaseRepresentation
bin1010001000110…
…10011010101100
312221000121212120
411010122122230
5133232332420
612234432540
72051565240
oct504323254
9187017776
1085042860
1144005a61
1224592750
1314807826
14b41a420
1576ecd40
hex511a6ac

85042860 has 96 divisors (see below), whose sum is σ = 286487040. Its totient is φ = 18413568.

The previous prime is 85042847. The next prime is 85042871. The reversal of 85042860 is 6824058.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2652 + ... + 13308.

It is an arithmetic number, because the mean of its divisors is an integer number (2984240).

Almost surely, 285042860 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 85042860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143243520).

85042860 is an abundant number, since it is smaller than the sum of its proper divisors (201444180).

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

85042860 is a wasteful number, since it uses less digits than its factorization.

85042860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10695 (or 10693 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 85042860 is about 9221.8685742099. The cubic root of 85042860 is about 439.7568560215.

The spelling of 85042860 in words is "eighty-five million, forty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 10657 21314 31971 42628 53285 63942 74599 106570 127884 149198 159855 202483 213140 223797 298396 319710 372995 404966 447594 607449 639420 745990 809932 895188 1012415 1118985 1214898 1417381 1491980 2024830 2237970 2429796 2834762 3037245 4049660 4252143 4475940 5669524 6074490 7086905 8504286 12148980 14173810 17008572 21260715 28347620 42521430 85042860