Search a number
-
+
85920034680 = 233251183120173
BaseRepresentation
bin101000000000100111…
…0111010111101111000
322012202220200222212200
41100001032322331320
52401431012102210
6103245432310200
76131115146634
oct1200116727570
9265686628780
1085920034680
113349068a827
121479a542360
13814378320c
1442310cddc4
15237d0ad0c0
hex14013baf78

85920034680 has 96 divisors (see below), whose sum is σ = 279277558560. Its totient is φ = 22908936960.

The previous prime is 85920034649. The next prime is 85920034727. The reversal of 85920034680 is 8643002958.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4249074 + ... + 4269246.

It is an arithmetic number, because the mean of its divisors is an integer number (2909141235).

Almost surely, 285920034680 is an apocalyptic number.

It is an amenable number.

85920034680 is an abundant number, since it is smaller than the sum of its proper divisors (193357523880).

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

85920034680 is a wasteful number, since it uses less digits than its factorization.

85920034680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32021 (or 32014 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 85920034680 in words is "eighty-five billion, nine hundred twenty million, thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11831 20173 23662 35493 40346 47324 59155 60519 70986 80692 94648 100865 106479 118310 121038 141972 161384 177465 181557 201730 212958 236620 242076 283944 302595 354930 363114 403460 425916 473240 484152 532395 605190 709860 726228 806920 851832 907785 1064790 1210380 1419720 1452456 1815570 2129580 2420760 3631140 4259160 7262280 238666763 477333526 716000289 954667052 1193333815 1432000578 1909334104 2148000867 2386667630 2864001156 3580001445 4296001734 4773335260 5728002312 7160002890 8592003468 9546670520 10740004335 14320005780 17184006936 21480008670 28640011560 42960017340 85920034680