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2668206060 = 22325133133643
BaseRepresentation
bin1001111100001001…
…1001011111101100
320212221200220121200
42133002121133230
520431030043220
61120432525500
7123056243262
oct23702313754
96787626550
102668206060
11114a150783
126256b0890
13336a34070
141b4518432
151093a4890
hex9f0997ec

2668206060 has 144 divisors (see below), whose sum is σ = 8746387104. Its totient is φ = 654511104.

The previous prime is 2668206031. The next prime is 2668206071. The reversal of 2668206060 is 606028662.

2668206060 is a `hidden beast` number, since 26 + 6 + 8 + 20 + 606 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 730599 + ... + 734241.

Almost surely, 22668206060 is an apocalyptic number.

2668206060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668206060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373193552).

2668206060 is an abundant number, since it is smaller than the sum of its proper divisors (6078181044).

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

2668206060 is a wasteful number, since it uses less digits than its factorization.

2668206060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2668206060 is about 51654.6809108332. The cubic root of 2668206060 is about 1386.9893363023.

The spelling of 2668206060 in words is "two billion, six hundred sixty-eight million, two hundred six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 313 390 468 585 626 780 939 1170 1252 1565 1878 2340 2817 3130 3643 3756 4069 4695 5634 6260 7286 8138 9390 10929 11268 12207 14085 14572 16276 18215 18780 20345 21858 24414 28170 32787 36430 36621 40690 43716 47359 48828 54645 56340 61035 65574 72860 73242 81380 94718 109290 122070 131148 142077 146484 163935 183105 189436 218580 236795 244140 284154 327870 366210 426231 473590 568308 655740 710385 732420 852462 947180 1140259 1420770 1704924 2131155 2280518 2841540 3420777 4262310 4561036 5701295 6841554 8524620 10262331 11402590 13683108 14823367 17103885 20524662 22805180 29646734 34207770 41049324 44470101 51311655 59293468 68415540 74116835 88940202 102623310 133410303 148233670 177880404 205246620 222350505 266820606 296467340 444701010 533641212 667051515 889402020 1334103030 2668206060