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12706096 = 2413237127
BaseRepresentation
bin110000011110…
…000100110000
3212220112111011
4300132010300
511223043341
61132200304
7213000004
oct60360460
925815434
1012706096
117199307
124309094
13282b500
14198a704
1511aeb81
hexc1e130

12706096 has 60 divisors (see below), whose sum is σ = 27593472. Its totient is φ = 5660928.

The previous prime is 12706093. The next prime is 12706139. The reversal of 12706096 is 69060721.

It is a super-2 number, since 2×127060962 = 322889751122432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12706093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99985 + ... + 100111.

Almost surely, 212706096 is an apocalyptic number.

12706096 is a gapful number since it is divisible by the number (16) 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 12706096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13796736).

12706096 is an abundant number, since it is smaller than the sum of its proper divisors (14887376).

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

12706096 is a wasteful number, since it uses less digits than its factorization.

12706096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 12706096 is about 3564.5611230557. The cubic root of 12706096 is about 233.3479791260.

The spelling of 12706096 in words is "twelve million, seven hundred six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 127 148 169 208 254 296 338 481 508 592 676 962 1016 1352 1651 1924 2032 2704 3302 3848 4699 6253 6604 7696 9398 12506 13208 18796 21463 25012 26416 37592 42926 50024 61087 75184 85852 100048 122174 171704 244348 343408 488696 794131 977392 1588262 3176524 6353048 12706096