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126871794 = 2327412599
BaseRepresentation
bin1111000111111…
…10100011110010
322211201202101100
413203332203302
5224434344134
620331145230
73100251420
oct743764362
9284652340
10126871794
1165685725
12365a5216
132039198a
1412bc8110
15b211999
hex78fe8f2

126871794 has 72 divisors (see below), whose sum is σ = 322545600. Its totient is φ = 35305920.

The previous prime is 126871793. The next prime is 126871819. The reversal of 126871794 is 497178621.

It is a happy number.

It is a super-2 number, since 2×1268717942 = 32192904225556872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126871793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211507 + ... + 212105.

It is an arithmetic number, because the mean of its divisors is an integer number (4479800).

Almost surely, 2126871794 is an apocalyptic number.

126871794 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126871794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161272800).

126871794 is an abundant number, since it is smaller than the sum of its proper divisors (195673806).

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

126871794 is a wasteful number, since it uses less digits than its factorization.

126871794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 652 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 126871794 is about 11263.7380118680. The cubic root of 126871794 is about 502.4833706534.

The spelling of 126871794 in words is "one hundred twenty-six million, eight hundred seventy-one thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 599 738 861 1198 1681 1722 1797 2583 3362 3594 4193 5043 5166 5391 8386 10086 10782 11767 12579 15129 23534 24559 25158 30258 35301 37737 49118 70602 73677 75474 105903 147354 171913 211806 221031 343826 442062 515739 1006919 1031478 1547217 2013838 3020757 3094434 6041514 7048433 9062271 14096866 18124542 21145299 42290598 63435897 126871794