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6060985040 = 24511591071091
BaseRepresentation
bin1011010010100001…
…10100101011010000
3120122101210221102102
411221100310223100
544403103010130
62441231535532
7303124344215
oct55120645320
916571727372
106060985040
1126302a4850
12121198a5a8
137578cc1a6
14416d65b0c
15257182645
hex169434ad0

6060985040 has 160 divisors (see below), whose sum is σ = 15793989120. Its totient is φ = 2144422400.

The previous prime is 6060985033. The next prime is 6060985043. The reversal of 6060985040 is 405890606.

It is a super-4 number, since 4×60609850404 (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6060984985 and 6060985003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6060985043) 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, 5554895 + ... + 5555985.

It is an arithmetic number, because the mean of its divisors is an integer number (98712432).

Almost surely, 26060985040 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 6060985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896994560).

6060985040 is an abundant number, since it is smaller than the sum of its proper divisors (9733004080).

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

6060985040 is a wasteful number, since it uses less digits than its factorization.

6060985040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 6060985040 is about 77852.3284173312. The cubic root of 6060985040 is about 1823.2563607712.

The spelling of 6060985040 in words is "six billion, sixty million, nine hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 107 110 118 176 214 220 236 295 428 440 472 535 590 649 856 880 944 1070 1091 1177 1180 1298 1712 2140 2182 2354 2360 2596 3245 4280 4364 4708 4720 5192 5455 5885 6313 6490 8560 8728 9416 10384 10910 11770 12001 12626 12980 17456 18832 21820 23540 24002 25252 25960 31565 43640 47080 48004 50504 51920 60005 63130 64369 69443 87280 94160 96008 101008 116737 120010 126260 128738 138886 192016 233474 240020 252520 257476 277772 321845 347215 466948 480040 505040 514952 555544 583685 643690 694430 708059 933896 960080 1029904 1111088 1167370 1284107 1287380 1388860 1416118 1867792 2334740 2568214 2574760 2777720 2832236 3540295 4669480 5136428 5149520 5555440 5664472 6420535 6887483 7080590 9338960 10272856 11328944 12841070 13774966 14161180 20545712 25682140 27549932 28322360 34437415 51364280 55099864 56644720 68874830 75762313 102728560 110199728 137749660 151524626 275499320 303049252 378811565 550998640 606098504 757623130 1212197008 1515246260 3030492520 6060985040