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126415060 = 225172912821
BaseRepresentation
bin1111000100011…
…11000011010100
322210212112212021
413202033003110
5224330240220
620313302524
73063340012
oct742170324
9283775767
10126415060
11653a3562
1236404a44
1320261b15
1412b098b2
15b1714aa
hex788f0d4

126415060 has 48 divisors (see below), whose sum is σ = 290802960. Its totient is φ = 45946880.

The previous prime is 126415019. The next prime is 126415063. The reversal of 126415060 is 60514621.

It can be written as a sum of positive squares in 8 ways, for example, as 4268356 + 122146704 = 2066^2 + 11052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126415063) 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, 3450 + ... + 16270.

It is an arithmetic number, because the mean of its divisors is an integer number (6058395).

Almost surely, 2126415060 is an apocalyptic number.

126415060 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 126415060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145401480).

126415060 is an abundant number, since it is smaller than the sum of its proper divisors (164387900).

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

126415060 is a wasteful number, since it uses less digits than its factorization.

126415060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876 (or 12874 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 126415060 is about 11243.4452015385. The cubic root of 126415060 is about 501.8796714820.

Adding to 126415060 its reverse (60514621), we get a palindrome (186929681).

The spelling of 126415060 in words is "one hundred twenty-six million, four hundred fifteen thousand, sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 12821 25642 51284 64105 128210 217957 256420 371809 435914 743618 871828 1089785 1487236 1859045 2179570 3718090 4359140 6320753 7436180 12641506 25283012 31603765 63207530 126415060