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126327096 = 23327261587
BaseRepresentation
bin1111000011110…
…01100100111000
322210201002012100
413201321210320
5224314431341
620311343400
73062522400
oct741714470
9283632170
10126327096
1165343465
1236381b60
1320230a7c
1412ac5800
15b1553b6
hex7879938

126327096 has 144 divisors (see below), whose sum is σ = 405208440. Its totient is φ = 35441280.

The previous prime is 126327059. The next prime is 126327121. The reversal of 126327096 is 690723621.

126327096 is a `hidden beast` number, since 12 + 632 + 7 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126327096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214915 + ... + 215501.

Almost surely, 2126327096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126327096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202604220).

126327096 is an abundant number, since it is smaller than the sum of its proper divisors (278881344).

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

126327096 is a wasteful number, since it uses less digits than its factorization.

126327096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 126327096 is about 11239.5327305009. The cubic root of 126327096 is about 501.7632360216.

The spelling of 126327096 in words is "one hundred twenty-six million, three hundred twenty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 61 63 72 84 98 122 126 147 168 183 196 244 252 294 366 392 427 441 488 504 549 587 588 732 854 882 1098 1174 1176 1281 1464 1708 1761 1764 2196 2348 2562 2989 3416 3522 3528 3843 4109 4392 4696 5124 5283 5978 7044 7686 8218 8967 10248 10566 11956 12327 14088 15372 16436 17934 21132 23912 24654 26901 28763 30744 32872 35807 35868 36981 42264 49308 53802 57526 71614 71736 73962 86289 98616 107421 107604 115052 143228 147924 172578 214842 215208 230104 250649 258867 286456 295848 322263 345156 429684 501298 517734 644526 690312 751947 859368 1002596 1035468 1289052 1503894 1754543 2005192 2070936 2255841 2578104 3007788 3509086 4511682 5263629 6015576 7018172 9023364 10527258 14036344 15790887 18046728 21054516 31581774 42109032 63163548 126327096