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12606272 = 267191481
BaseRepresentation
bin110000000101…
…101101000000
3212201110112222
4300011231000
511211400042
61130110212
7212102660
oct60055500
925643488
1012606272
117130308
12427b368
1327c4c43
1419621a0
1511902d2
hexc05b40

12606272 has 56 divisors (see below), whose sum is σ = 30114240. Its totient is φ = 5114880.

The previous prime is 12606259. The next prime is 12606283. The reversal of 12606272 is 27260621.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7772 + ... + 9252.

Almost surely, 212606272 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 12606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057120).

12606272 is an abundant number, since it is smaller than the sum of its proper divisors (17507968).

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

12606272 is a wasteful number, since it uses less digits than its factorization.

12606272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 12606272 is about 3550.5312278587. The cubic root of 12606272 is about 232.7352811520.

Adding to 12606272 its reverse (27260621), we get a palindrome (39866893).

The spelling of 12606272 in words is "twelve million, six hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 1481 2128 2962 4256 5924 8512 10367 11848 20734 23696 28139 41468 47392 56278 82936 94784 112556 165872 196973 225112 331744 393946 450224 663488 787892 900448 1575784 1800896 3151568 6303136 12606272