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12883134 = 23112953127
BaseRepresentation
bin110001001001…
…010010111110
3220020112100010
4301021102332
511244230014
61140044050
7214335105
oct61112276
926215303
1012883134
1172aa320
124393626
132890c74
1419d503c
1511e7359
hexc494be

12883134 has 64 divisors (see below), whose sum is σ = 29859840. Its totient is φ = 3669120.

The previous prime is 12883133. The next prime is 12883147. The reversal of 12883134 is 43138821.

12883134 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 is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12883133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101379 + ... + 101505.

It is an arithmetic number, because the mean of its divisors is an integer number (466560).

Almost surely, 212883134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12883134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929920).

12883134 is an abundant number, since it is smaller than the sum of its proper divisors (16976706).

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

12883134 is a wasteful number, since it uses less digits than its factorization.

12883134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225.

The product of its digits is 4608, while the sum is 30.

The square root of 12883134 is about 3589.3082899077. The cubic root of 12883134 is about 234.4267542953.

The spelling of 12883134 in words is "twelve million, eight hundred eighty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 53 58 66 87 106 127 159 174 254 318 319 381 583 638 762 957 1166 1397 1537 1749 1914 2794 3074 3498 3683 4191 4611 6731 7366 8382 9222 11049 13462 16907 20193 22098 33814 40386 40513 50721 74041 81026 101442 121539 148082 195199 222123 243078 390398 444246 585597 1171194 2147189 4294378 6441567 12883134