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1268406370 = 2571119181479
BaseRepresentation
bin100101110011010…
…0101100001100010
310021101201201102201
41023212211201202
510044203000440
6325510203414
743301163520
oct11346454142
93241651381
101268406370
115a0a89530
122b495356a
13172a2581a
14c0659310
157654e19a
hex4b9a5862

1268406370 has 128 divisors (see below), whose sum is σ = 3019161600. Its totient is φ = 371692800.

The previous prime is 1268406353. The next prime is 1268406371. The reversal of 1268406370 is 736048621.

1268406370 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1268406371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2647791 + ... + 2648269.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 21268406370 is an apocalyptic number.

1268406370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1268406370 is an abundant number, since it is smaller than the sum of its proper divisors (1750755230).

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

1268406370 is a wasteful number, since it uses less digits than its factorization.

1268406370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 1268406370 is about 35614.6931757105. The cubic root of 1268406370 is about 1082.4789791586.

The spelling of 1268406370 in words is "one billion, two hundred sixty-eight million, four hundred six thousand, three hundred seventy".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 55 70 77 95 110 133 154 181 190 209 266 362 385 418 479 665 770 905 958 1045 1267 1330 1463 1810 1991 2090 2395 2534 2926 3353 3439 3982 4790 5269 6335 6706 6878 7315 9101 9955 10538 12670 13937 14630 16765 17195 18202 19910 24073 26345 27874 33530 34390 36883 37829 45505 48146 52690 63707 69685 73766 75658 86699 91010 100111 120365 127414 139370 173398 184415 189145 200222 240730 264803 318535 368830 378290 433495 500555 529606 606893 637070 700777 866990 953689 1001110 1213786 1324015 1401554 1647281 1907378 2648030 3034465 3294562 3503885 4768445 6068930 6675823 7007770 8236405 9536890 11530967 13351646 16472810 18120091 23061934 33379115 36240182 57654835 66758230 90600455 115309670 126840637 181200910 253681274 634203185 1268406370