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126261912 = 23371574787
BaseRepresentation
bin1111000011010…
…01101010011000
322210120202210010
413201221222120
5224310340122
620310121520
73062131350
oct741515230
9283522703
10126261912
11652a9497
12363502a0
132020a1ba
1412aa9b60
15b140e0c
hex7869a98

126261912 has 64 divisors (see below), whose sum is σ = 363121920. Its totient is φ = 35837568.

The previous prime is 126261869. The next prime is 126261917. The reversal of 126261912 is 219162621.

It is a self number, because there is not a number n which added to its sum of digits gives 126261912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126261917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23983 + ... + 28769.

It is an arithmetic number, because the mean of its divisors is an integer number (5673780).

Almost surely, 2126261912 is an apocalyptic number.

126261912 is a gapful number since it is divisible by the number (12) 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 126261912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181560960).

126261912 is an abundant number, since it is smaller than the sum of its proper divisors (236860008).

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

126261912 is a wasteful number, since it uses less digits than its factorization.

126261912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 4956 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 126261912 is about 11236.6325916620. The cubic root of 126261912 is about 501.6769189317.

The spelling of 126261912 in words is "one hundred twenty-six million, two hundred sixty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 942 1099 1256 1884 2198 3297 3768 4396 4787 6594 8792 9574 13188 14361 19148 26376 28722 33509 38296 57444 67018 100527 114888 134036 201054 268072 402108 751559 804216 1503118 2254677 3006236 4509354 5260913 6012472 9018708 10521826 15782739 18037416 21043652 31565478 42087304 63130956 126261912