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85980860 = 22574773179
BaseRepresentation
bin1010001111111…
…11011010111100
312222210021120022
411013333122330
5134002341420
612310511312
72062553030
oct507773274
9188707508
1085980860
1144596769
1224965538
1314a75764
14b5c21c0
157835c25
hex51ff6bc

85980860 has 96 divisors (see below), whose sum is σ = 214824960. Its totient is φ = 28297728.

The previous prime is 85980857. The next prime is 85980889. The reversal of 85980860 is 6808958.

It is a congruent number.

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, 480251 + ... + 480429.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 285980860 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 85980860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

85980860 is an abundant number, since it is smaller than the sum of its proper divisors (128844100).

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

85980860 is a wasteful number, since it uses less digits than its factorization.

85980860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 85980860 is about 9272.5864784320. The cubic root of 85980860 is about 441.3677480569.

The spelling of 85980860 in words is "eighty-five million, nine hundred eighty thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 73 94 140 146 179 188 235 292 329 358 365 470 511 658 716 730 895 940 1022 1253 1316 1460 1645 1790 2044 2506 2555 3290 3431 3580 5012 5110 6265 6580 6862 8413 10220 12530 13067 13724 16826 17155 24017 25060 26134 33652 34310 42065 48034 52268 58891 65335 68620 84130 91469 96068 117782 120085 130670 168260 182938 235564 240170 261340 294455 365876 457345 480340 588910 614149 914690 1177820 1228298 1829380 2456596 3070745 4299043 6141490 8598086 12282980 17196172 21495215 42990430 85980860