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2970078160 = 24573176367
BaseRepresentation
bin1011000100000111…
…1100101111010000
321122222201121021211
42301001330233100
522040320000120
61210415025504
7133413151000
oct26101745720
97588647254
102970078160
111294593755
126aa80b294
13384438cca
14202658000
15125b3325a
hexb107cbd0

2970078160 has 160 divisors (see below), whose sum is σ = 8528025600. Its totient is φ = 958261248.

The previous prime is 2970078151. The next prime is 2970078161. The reversal of 2970078160 is 618700792.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970078161) 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, 463297 + ... + 469663.

It is an arithmetic number, because the mean of its divisors is an integer number (53300160).

Almost surely, 22970078160 is an apocalyptic number.

2970078160 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 2970078160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264012800).

2970078160 is an abundant number, since it is smaller than the sum of its proper divisors (5557947440).

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

2970078160 is a wasteful number, since it uses less digits than its factorization.

2970078160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 2970078160 is about 54498.4234634361. The cubic root of 2970078160 is about 1437.4385663475.

The spelling of 2970078160 in words is "two billion, nine hundred seventy million, seventy-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 340 343 392 476 490 560 595 680 686 784 833 952 980 1190 1360 1372 1666 1715 1904 1960 2380 2744 3332 3430 3920 4165 4760 5488 5831 6367 6664 6860 8330 9520 11662 12734 13328 13720 16660 23324 25468 27440 29155 31835 33320 44569 46648 50936 58310 63670 66640 89138 93296 101872 108239 116620 127340 178276 216478 222845 233240 254680 311983 356552 432956 445690 466480 509360 541195 623966 713104 757673 865912 891380 1082390 1247932 1515346 1559915 1731824 1782760 2164780 2183881 2495864 3030692 3119830 3565520 3788365 4329560 4367762 4991728 5303711 6061384 6239660 7576730 8659120 8735524 10607422 10919405 12122768 12479320 15153460 17471048 21214844 21838810 24958640 26518555 30306920 34942096 37125977 42429688 43677620 53037110 60613840 74251954 84859376 87355240 106074220 148503908 174710480 185629885 212148440 297007816 371259770 424296880 594015632 742519540 1485039080 2970078160