Search a number
-
+
2664210060 = 22325233120759
BaseRepresentation
bin1001111011001100…
…1001111010001100
320212200011220010200
42132303021322030
520424014210220
61120211133500
7123010261161
oct23663117214
96780156120
102664210060
1111479714a6
126242a4290
13335c65275
141b3b98068
15108d65890
hex9ecc9e8c

2664210060 has 144 divisors (see below), whose sum is σ = 8705249280. Its totient is φ = 657613440.

The previous prime is 2664210047. The next prime is 2664210067. The reversal of 2664210060 is 600124662.

It is a happy number.

2664210060 is a `hidden beast` number, since 2 + 6 + 642 + 10 + 0 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2664210067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117961 + ... + 138719.

It is an arithmetic number, because the mean of its divisors is an integer number (60453120).

Almost surely, 22664210060 is an apocalyptic number.

2664210060 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 2664210060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352624640).

2664210060 is an abundant number, since it is smaller than the sum of its proper divisors (6041039220).

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

2664210060 is a wasteful number, since it uses less digits than its factorization.

2664210060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20828 (or 20823 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2664210060 is about 51615.9864770596. The cubic root of 2664210060 is about 1386.2965888903.

The spelling of 2664210060 in words is "two billion, six hundred sixty-four million, two hundred ten thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 180 186 207 230 276 279 310 345 372 414 460 465 558 620 690 713 828 930 1035 1116 1380 1395 1426 1860 2070 2139 2790 2852 3565 4140 4278 5580 6417 7130 8556 10695 12834 14260 20759 21390 25668 32085 41518 42780 62277 64170 83036 103795 124554 128340 186831 207590 249108 311385 373662 415180 477457 622770 643529 747324 934155 954914 1245540 1287058 1432371 1868310 1909828 1930587 2387285 2574116 2864742 3217645 3736620 3861174 4297113 4774570 5729484 5791761 6435290 7161855 7722348 8594226 9549140 9652935 11583522 12870580 14323710 14801167 17188452 19305870 21485565 23167044 28647420 28958805 29602334 38611740 42971130 44403501 57917610 59204668 74005835 85942260 88807002 115835220 133210503 148011670 177614004 222017505 266421006 296023340 444035010 532842012 666052515 888070020 1332105030 2664210060