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12746032 = 2413233263
BaseRepresentation
bin110000100111…
…110100110000
3212222120021021
4300213310300
511230333112
61133105224
7213224305
oct60476460
925876237
1012746032
117216312
124328214
132843740
14199b0ac
1511bb907
hexc27d30

12746032 has 40 divisors (see below), whose sum is σ = 26810784. Its totient is φ = 5835264.

The previous prime is 12746021. The next prime is 12746047. The reversal of 12746032 is 23064721.

It is a super-2 number, since 2×127460322 = 324922663490048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12745988 and 12746006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48333 + ... + 48595.

Almost surely, 212746032 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 12746032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

12746032 is an abundant number, since it is smaller than the sum of its proper divisors (14064752).

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

12746032 is a wasteful number, since it uses less digits than its factorization.

12746032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 12746032 is about 3570.1585398971. The cubic root of 12746032 is about 233.5921988700.

The spelling of 12746032 in words is "twelve million, seven hundred forty-six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 233 263 466 526 932 1052 1864 2104 3029 3419 3728 4208 6058 6838 12116 13676 24232 27352 48464 54704 61279 122558 245116 490232 796627 980464 1593254 3186508 6373016 12746032