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126463260 = 223571131883
BaseRepresentation
bin1111000100110…
…10110100011100
322210221222222110
413202122310130
5224333311020
620314314020
73063630360
oct742326434
9283858873
10126463260
11654267a0
1236428910
132027aa41
1412b1d2a0
15b1808e0
hex789ad1c

126463260 has 192 divisors, whose sum is σ = 456228864. Its totient is φ = 25401600.

The previous prime is 126463243. The next prime is 126463261. The reversal of 126463260 is 62364621.

It is a super-2 number, since 2×1264632602 = 31985912259655200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126463261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142779 + ... + 143661.

It is an arithmetic number, because the mean of its divisors is an integer number (2376192).

Almost surely, 2126463260 is an apocalyptic number.

126463260 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 126463260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228114432).

126463260 is an abundant number, since it is smaller than the sum of its proper divisors (329765604).

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

126463260 is a wasteful number, since it uses less digits than its factorization.

126463260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 126463260 is about 11245.5884683728. The cubic root of 126463260 is about 501.9434495538.

The spelling of 126463260 in words is "one hundred twenty-six million, four hundred sixty-three thousand, two hundred sixty".