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12473136 = 2433132221
BaseRepresentation
bin101111100101…
…001100110000
3212110200221000
4233211030300
511143120021
61123202000
7211006554
oct57451460
925420830
1012473136
11704a285
124216300
132779470
141929864
151165b26
hexbe5330

12473136 has 80 divisors (see below), whose sum is σ = 38573920. Its totient is φ = 3836160.

The previous prime is 12473119. The next prime is 12473137. The reversal of 12473136 is 63137421.

12473136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12473137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4506 + ... + 6726.

It is an arithmetic number, because the mean of its divisors is an integer number (482174).

Almost surely, 212473136 is an apocalyptic number.

12473136 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 12473136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19286960).

12473136 is an abundant number, since it is smaller than the sum of its proper divisors (26100784).

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

12473136 is a wasteful number, since it uses less digits than its factorization.

12473136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2239 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 12473136 is about 3531.7327192187. The cubic root of 12473136 is about 231.9130669140.

The spelling of 12473136 in words is "twelve million, four hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2221 2808 4442 5616 6663 8884 13326 17768 19989 26652 28873 35536 39978 53304 57746 59967 79956 86619 106608 115492 119934 159912 173238 230984 239868 259857 319824 346476 461968 479736 519714 692952 779571 959472 1039428 1385904 1559142 2078856 3118284 4157712 6236568 12473136