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12706002 = 23229101241
BaseRepresentation
bin110000011110…
…000011010010
3212220112100200
4300132003102
511223043002
61132200030
7212666511
oct60360322
925815320
1012706002
117199231
124309016
13282b45a
14198a678
1511aeb1c
hexc1e0d2

12706002 has 48 divisors (see below), whose sum is σ = 28880280. Its totient is φ = 4032000.

The previous prime is 12705997. The next prime is 12706007. The reversal of 12706002 is 20060721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12705997) and next prime (12706007).

It can be written as a sum of positive squares in 4 ways, for example, as 12680721 + 25281 = 3561^2 + 159^2 .

It is a super-2 number, since 2×127060022 = 322884973648008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12706007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52602 + ... + 52842.

Almost surely, 212706002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12706002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440140).

12706002 is an abundant number, since it is smaller than the sum of its proper divisors (16174278).

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

12706002 is a wasteful number, since it uses less digits than its factorization.

12706002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12706002 is about 3564.5479376774. The cubic root of 12706002 is about 233.3474036867.

Adding to 12706002 its reverse (20060721), we get a palindrome (32766723).

The spelling of 12706002 in words is "twelve million, seven hundred six thousand, two".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 241 261 303 482 522 606 723 909 1446 1818 2169 2929 4338 5858 6989 8787 13978 17574 20967 24341 26361 41934 48682 52722 62901 73023 125802 146046 219069 438138 705889 1411778 2117667 4235334 6353001 12706002