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2982990060 = 22325233072347
BaseRepresentation
bin1011000111001100…
…1101000011101100
321200220000121002100
42301303031003230
522102121140220
61211555455100
7133630666011
oct26163150354
97626017070
102982990060
1112a0902646
126b2bb7490
1338700a09b
14204259708
15126d33d90
hexb1ccd0ec

2982990060 has 144 divisors (see below), whose sum is σ = 9476603136. Its totient is φ = 758077056.

The previous prime is 2982990047. The next prime is 2982990079. The reversal of 2982990060 is 600992892.

2982990060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2982989988 and 2982990015.

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, 1269807 + ... + 1272153.

It is an arithmetic number, because the mean of its divisors is an integer number (65809744).

Almost surely, 22982990060 is an apocalyptic number.

2982990060 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 2982990060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738301568).

2982990060 is an abundant number, since it is smaller than the sum of its proper divisors (6493613076).

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

2982990060 is a wasteful number, since it uses less digits than its factorization.

2982990060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2982990060 is about 54616.7562200466. The cubic root of 2982990060 is about 1439.5185601214.

The spelling of 2982990060 in words is "two billion, nine hundred eighty-two million, nine hundred ninety thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 307 345 414 460 614 690 828 921 1035 1228 1380 1535 1842 2070 2347 2763 3070 3684 4140 4605 4694 5526 6140 7041 7061 9210 9388 11052 11735 13815 14082 14122 18420 21123 21183 23470 27630 28164 28244 35205 35305 42246 42366 46940 53981 55260 63549 70410 70610 84492 84732 105615 105915 107962 127098 140820 141220 161943 211230 211830 215924 254196 269905 317745 323886 422460 423660 485829 539810 635490 647772 720529 809715 971658 1079620 1270980 1441058 1619430 1943316 2161587 2429145 2882116 3238860 3602645 4323174 4858290 6484761 7205290 8646348 9716580 10807935 12969522 14410580 16572167 21615870 25939044 32423805 33144334 43231740 49716501 64847610 66288668 82860835 99433002 129695220 149149503 165721670 198866004 248582505 298299006 331443340 497165010 596598012 745747515 994330020 1491495030 2982990060