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126244140 = 223511217389
BaseRepresentation
bin1111000011001…
…01010100101100
322210112212101220
413201211110230
5224304303030
620305503340
73062025501
oct741452454
9283485356
10126244140
1165297100
1236341b50
1320202099
1412aa34a8
15b13aa10
hex786552c

126244140 has 72 divisors (see below), whose sum is σ = 388562160. Its totient is φ = 30602880.

The previous prime is 126244123. The next prime is 126244141. The reversal of 126244140 is 41442621.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 126244140.

It is not an unprimeable number, because it can be changed into a prime (126244141) 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 23 ways as a sum of consecutive naturals, for example, 1435 + ... + 15954.

Almost surely, 2126244140 is an apocalyptic number.

126244140 is a gapful number since it is divisible by the number (10) 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 126244140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194281080).

126244140 is an abundant number, since it is smaller than the sum of its proper divisors (262318020).

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

126244140 is a wasteful number, since it uses less digits than its factorization.

126244140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423 (or 17410 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 126244140 is about 11235.8417575187. The cubic root of 126244140 is about 501.6533799763.

Adding to 126244140 its reverse (41442621), we get a palindrome (167686761).

The spelling of 126244140 in words is "one hundred twenty-six million, two hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 17389 34778 52167 69556 86945 104334 173890 191279 208668 260835 347780 382558 521670 573837 765116 956395 1043340 1147674 1912790 2104069 2295348 2869185 3825580 4208138 5738370 6312207 8416276 10520345 11476740 12624414 21040690 25248828 31561035 42081380 63122070 126244140