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12742170 = 2357471291
BaseRepresentation
bin110000100110…
…111000011010
3212222100222020
4300212320122
511230222140
61133035310
7213210120
oct60467032
925870866
1012742170
117213421
124325b36
132841a5c
141999910
1511ba6d0
hexc26e1a

12742170 has 64 divisors (see below), whose sum is σ = 35721216. Its totient is φ = 2848320.

The previous prime is 12742153. The next prime is 12742189. The reversal of 12742170 is 7124721.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12742170.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9225 + ... + 10515.

It is an arithmetic number, because the mean of its divisors is an integer number (558144).

Almost surely, 212742170 is an apocalyptic number.

12742170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12742170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860608).

12742170 is an abundant number, since it is smaller than the sum of its proper divisors (22979046).

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

12742170 is a wasteful number, since it uses less digits than its factorization.

12742170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 12742170 is about 3569.6176265813. The cubic root of 12742170 is about 233.5686039661.

Adding to 12742170 its reverse (7124721), we get a palindrome (19866891).

The spelling of 12742170 in words is "twelve million, seven hundred forty-two thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1291 1410 1645 1974 2582 3290 3873 4935 6455 7746 9037 9870 12910 18074 19365 27111 38730 45185 54222 60677 90370 121354 135555 182031 271110 303385 364062 424739 606770 849478 910155 1274217 1820310 2123695 2548434 4247390 6371085 12742170