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126880446 = 23711674099
BaseRepresentation
bin1111001000000…
…00101010111110
322211202012020210
413210000222332
5224440133241
620331253250
73100315560
oct744005276
9284665223
10126880446
1165691180
12365aa226
13203958b4
1412bcb330
15b214316
hex7900abe

126880446 has 64 divisors (see below), whose sum is σ = 321177600. Its totient is φ = 32456160.

The previous prime is 126880441. The next prime is 126880459. The reversal of 126880446 is 644088621.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126880441) 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 31 ways as a sum of consecutive naturals, for example, 28905 + ... + 33003.

It is an arithmetic number, because the mean of its divisors is an integer number (5018400).

Almost surely, 2126880446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126880446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160588800).

126880446 is an abundant number, since it is smaller than the sum of its proper divisors (194297154).

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

126880446 is a wasteful number, since it uses less digits than its factorization.

126880446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189.

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 126880446 is about 11264.1220696511. The cubic root of 126880446 is about 502.4947926492.

The spelling of 126880446 in words is "one hundred twenty-six million, eight hundred eighty thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 134 154 201 231 402 462 469 737 938 1407 1474 2211 2814 4099 4422 5159 8198 10318 12297 15477 24594 28693 30954 45089 57386 86079 90178 135267 172158 270534 274633 315623 549266 631246 823899 946869 1647798 1893738 1922431 3020963 3844862 5767293 6041926 9062889 11534586 18125778 21146741 42293482 63440223 126880446