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85108980 = 223511219617
BaseRepresentation
bin1010001001010…
…10100011110100
312221010222120110
411010222203310
5133241441410
612240103020
72052262065
oct504524364
9187128513
1085108980
1144050700
1224604a70
131482b958
14b43656c
157712720
hex512a8f4

85108980 has 144 divisors (see below), whose sum is σ = 276171840. Its totient is φ = 19514880.

The previous prime is 85108973. The next prime is 85109023. The reversal of 85108980 is 8980158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137632 + ... + 138248.

It is an arithmetic number, because the mean of its divisors is an integer number (1917860).

Almost surely, 285108980 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 85108980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138085920).

85108980 is an abundant number, since it is smaller than the sum of its proper divisors (191062860).

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

85108980 is a wasteful number, since it uses less digits than its factorization.

85108980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 85108980 is about 9225.4528344141. The cubic root of 85108980 is about 439.8707953965.

The spelling of 85108980 in words is "eighty-five million, one hundred eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 605 617 627 660 726 836 1045 1140 1210 1234 1254 1452 1815 1851 2090 2299 2420 2468 2508 3085 3135 3630 3702 4180 4598 6170 6270 6787 6897 7260 7404 9196 9255 11495 11723 12340 12540 13574 13794 18510 20361 22990 23446 27148 27588 33935 34485 35169 37020 40722 45980 46892 58615 67870 68970 70338 74657 81444 101805 117230 128953 135740 137940 140676 149314 175845 203610 223971 234460 257906 298628 351690 373285 386859 407220 447942 515812 644765 703380 746570 773718 895884 1119855 1289530 1418483 1493140 1547436 1934295 2239710 2579060 2836966 3868590 4255449 4479420 5673932 7092415 7737180 8510898 14184830 17021796 21277245 28369660 42554490 85108980