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3009107970 = 2325115951517
BaseRepresentation
bin1011001101011011…
…0101100000000010
321202201011112010100
42303112311200002
522130312423340
61214331343230
7134365665351
oct26326654002
97681145110
103009107970
1113046213a0
126bb8b1b16
1338c55307b
142078d7998
15129292830
hexb35b5802

3009107970 has 96 divisors (see below), whose sum is σ = 8679752640. Its totient is φ = 717102720.

The previous prime is 3009107951. The next prime is 3009107971. The reversal of 3009107970 is 797019003.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3009107971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32652 + ... + 84168.

It is an arithmetic number, because the mean of its divisors is an integer number (90414090).

Almost surely, 23009107970 is an apocalyptic number.

3009107970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009107970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339876320).

3009107970 is an abundant number, since it is smaller than the sum of its proper divisors (5670644670).

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

3009107970 is a wasteful number, since it uses less digits than its factorization.

3009107970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51600 (or 51597 counting only the distinct ones).

The product of its (nonzero) digits is 11907, while the sum is 36.

The square root of 3009107970 is about 54855.3367504020. The cubic root of 3009107970 is about 1443.7076474898.

The spelling of 3009107970 in words is "three billion, nine million, one hundred seven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 59 66 90 99 110 118 165 177 198 295 330 354 495 531 590 649 885 990 1062 1298 1770 1947 2655 3245 3894 5310 5841 6490 9735 11682 19470 29205 51517 58410 103034 154551 257585 309102 463653 515170 566687 772755 927306 1133374 1545510 1700061 2318265 2833435 3039503 3400122 4636530 5100183 5666870 6079006 8500305 9118509 10200366 15197515 17000610 18237018 25500915 27355527 30395030 33434533 45592545 51001830 54711054 66869066 91185090 100303599 136777635 167172665 200607198 273555270 300910797 334345330 501517995 601821594 1003035990 1504553985 3009107970