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126720880 = 245112131953
BaseRepresentation
bin1111000110110…
…01101101110000
322211110002100221
413203121231300
5224420032010
620324022424
73066052426
oct743315560
9284402327
10126720880
1165592300
1236531a14
132033b090
1412b89116
15b1d1dda
hex78d9b70

126720880 has 240 divisors, whose sum is σ = 374038560. Its totient is φ = 39536640.

The previous prime is 126720877. The next prime is 126720889. The reversal of 126720880 is 88027621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126720889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2390934 + ... + 2390986.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 2126720880 is an apocalyptic number.

126720880 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 126720880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).

126720880 is an abundant number, since it is smaller than the sum of its proper divisors (247317680).

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

126720880 is a wasteful number, since it uses less digits than its factorization.

126720880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 126720880 is about 11257.0369103064. The cubic root of 126720880 is about 502.2840569467.

It can be divided in two parts, 126720 and 880, that multiplied together give a square (111513600 = 105602).

The spelling of 126720880 in words is "one hundred twenty-six million, seven hundred twenty thousand, eight hundred eighty".