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126947712 = 2733111063
BaseRepresentation
bin1111001000100…
…01000110000000
322211212121112010
413210101012000
5224444311322
620332532520
73101015643
oct744210600
9284777463
10126947712
1165727771
1236621140
13203ba3b8
1412c07a5a
15b22920c
hex7911180

126947712 has 64 divisors (see below), whose sum is σ = 338607360. Its totient is φ = 42140160.

The previous prime is 126947699. The next prime is 126947719. The reversal of 126947712 is 217749621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1269477122 = 32231443164069888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126947719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118893 + ... + 119955.

It is an arithmetic number, because the mean of its divisors is an integer number (5290740).

Almost surely, 2126947712 is an apocalyptic number.

126947712 is a gapful number since it is divisible by the number (12) 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 126947712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

126947712 is an abundant number, since it is smaller than the sum of its proper divisors (211659648).

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

126947712 is a wasteful number, since it uses less digits than its factorization.

126947712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1379 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 126947712 is about 11267.1075258915. The cubic root of 126947712 is about 502.5835766038.

The spelling of 126947712 in words is "one hundred twenty-six million, nine hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 622 933 1063 1244 1866 2126 2488 3189 3732 4252 4976 6378 7464 8504 9952 12756 14928 17008 19904 25512 29856 34016 39808 51024 59712 68032 102048 119424 136064 204096 330593 408192 661186 991779 1322372 1983558 2644744 3967116 5289488 7934232 10578976 15868464 21157952 31736928 42315904 63473856 126947712