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12472128 = 263259367
BaseRepresentation
bin101111100100…
…111101000000
3212110122112200
4233210331000
511143102003
61123153200
7211003614
oct57447500
925418480
1012472128
117049549
124215800
132778b76
141929344
1511656a3
hexbe4f40

12472128 has 84 divisors (see below), whose sum is σ = 36454080. Its totient is φ = 4075776.

The previous prime is 12472127. The next prime is 12472129. The reversal of 12472128 is 82127421.

12472128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12472127) and next prime (12472129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12472127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33801 + ... + 34167.

Almost surely, 212472128 is an apocalyptic number.

12472128 is a gapful number since it is divisible by the number (18) 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 12472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18227040).

12472128 is an abundant number, since it is smaller than the sum of its proper divisors (23981952).

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

12472128 is a wasteful number, since it uses less digits than its factorization.

12472128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 12472128 is about 3531.5900101796. The cubic root of 12472128 is about 231.9068194964.

Adding to 12472128 its reverse (82127421), we get a palindrome (94599549).

It can be divided in two parts, 1247 and 2128, that added together give a cube (3375 = 153).

The spelling of 12472128 in words is "twelve million, four hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 367 472 531 576 708 734 944 1062 1101 1416 1468 1888 2124 2202 2832 2936 3303 3776 4248 4404 5664 5872 6606 8496 8808 11328 11744 13212 16992 17616 21653 23488 26424 33984 35232 43306 52848 64959 70464 86612 105696 129918 173224 194877 211392 259836 346448 389754 519672 692896 779508 1039344 1385792 1559016 2078688 3118032 4157376 6236064 12472128