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12706092 = 223376
BaseRepresentation
bin110000011110…
…000100101100
3212220112111000
4300132010230
511223043332
61132200300
7213000000
oct60360454
925815430
1012706092
117199303
124309090
13282b4c9
14198a700
1511aeb7c
hexc1e12c

12706092 has 84 divisors (see below), whose sum is σ = 38431960. Its totient is φ = 3630312.

The previous prime is 12706073. The next prime is 12706093. The reversal of 12706092 is 29060721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×127060922 = 322889547824928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 1815153 + ... + 1815159.

Almost surely, 212706092 is an apocalyptic number.

12706092 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 12706092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215980).

12706092 is an abundant number, since it is smaller than the sum of its proper divisors (25725868).

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

12706092 is an frugal number, since it uses more digits than its factorization.

12706092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12706092 is about 3564.5605619767. The cubic root of 12706092 is about 233.3479546393.

Multiplying 12706092 by its sum of digits (27), we get a square (343064484 = 185222).

12706092 divided by its sum of digits (27) gives a square (470596 = 6862).

The spelling of 12706092 in words is "twelve million, seven hundred six thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2401 2646 3087 4116 4802 5292 6174 7203 9261 9604 12348 14406 16807 18522 21609 28812 33614 37044 43218 50421 64827 67228 86436 100842 117649 129654 151263 201684 235298 259308 302526 352947 453789 470596 605052 705894 907578 1058841 1411788 1815156 2117682 3176523 4235364 6353046 12706092