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126000780 = 223519110527
BaseRepresentation
bin1111000001010…
…01111010001100
322210002111120120
413200221322030
5224224011110
620300344540
73056663133
oct740517214
9283074516
10126000780
1165140284
1236245150
1320148399
1412a3c91a
15b0dd870
hex7829e8c

126000780 has 48 divisors (see below), whose sum is σ = 371374080. Its totient is φ = 31831488.

The previous prime is 126000757. The next prime is 126000781. The reversal of 126000780 is 87000621.

126000780 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

126000780 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 126000780.

It is not an unprimeable number, because it can be changed into a prime (126000781) 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, 54124 + ... + 56403.

It is an arithmetic number, because the mean of its divisors is an integer number (7736960).

Almost surely, 2126000780 is an apocalyptic number.

126000780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126000780 is an abundant number, since it is smaller than the sum of its proper divisors (245373300).

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

126000780 is a wasteful number, since it uses less digits than its factorization.

126000780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110558 (or 110556 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 126000780 is about 11225.0069042295. The cubic root of 126000780 is about 501.3308279844.

The spelling of 126000780 in words is "one hundred twenty-six million, seven hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 110527 221054 331581 442108 552635 663162 1105270 1326324 1657905 2100013 2210540 3315810 4200026 6300039 6631620 8400052 10500065 12600078 21000130 25200156 31500195 42000260 63000390 126000780