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126014460 = 2235111319773
BaseRepresentation
bin1111000001011…
…01001111111100
322210010012100020
413200231033330
5224224430320
620300532140
73060051045
oct740551774
9283105306
10126014460
116514a590
1236251050
1320151690
1412a438cc
15b0e2940
hex782d3fc

126014460 has 192 divisors, whose sum is σ = 436907520. Its totient is φ = 26680320.

The previous prime is 126014453. The next prime is 126014461. The reversal of 126014460 is 64410621.

It is a self number, because there is not a number n which added to its sum of digits gives 126014460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126014461) 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, 162634 + ... + 163406.

It is an arithmetic number, because the mean of its divisors is an integer number (2275560).

Almost surely, 2126014460 is an apocalyptic number.

126014460 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 126014460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218453760).

126014460 is an abundant number, since it is smaller than the sum of its proper divisors (310893060).

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

126014460 is a wasteful number, since it uses less digits than its factorization.

126014460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 126014460 is about 11225.6162414364. The cubic root of 126014460 is about 501.3489706169.

The spelling of 126014460 in words is "one hundred twenty-six million, fourteen thousand, four hundred sixty".