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12471696 = 2432257337
BaseRepresentation
bin101111100100…
…110110010000
3212110121221200
4233210312100
511143043241
61123151200
7211002426
oct57446620
925417850
1012471696
117049196
124215500
132778903
141929116
1511654b6
hexbe4d90

12471696 has 60 divisors (see below), whose sum is σ = 35143212. Its totient is φ = 4128768.

The previous prime is 12471689. The next prime is 12471707. The reversal of 12471696 is 69617421.

12471696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 3686400 = 2964^2 + 1920^2 .

It is a super-2 number, since 2×124716962 = 311086402232832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12471696.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36840 + ... + 37176.

Almost surely, 212471696 is an apocalyptic number.

12471696 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 12471696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571606).

12471696 is an abundant number, since it is smaller than the sum of its proper divisors (22671516).

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

12471696 is a wasteful number, since it uses less digits than its factorization.

12471696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12471696 is about 3531.5288473974. The cubic root of 12471696 is about 231.9041419286.

The spelling of 12471696 in words is "twelve million, four hundred seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 257 337 514 674 771 1011 1028 1348 1542 2022 2056 2313 2696 3033 3084 4044 4112 4626 5392 6066 6168 8088 9252 12132 12336 16176 18504 24264 37008 48528 86609 173218 259827 346436 519654 692872 779481 1039308 1385744 1558962 2078616 3117924 4157232 6235848 12471696