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12734064 = 243374211
BaseRepresentation
bin110000100100…
…111001110000
3212221221212000
4300210321300
511224442224
61132534000
7213144360
oct60447160
925857760
1012734064
117208322
124321300
13283b165
1419969a0
1511b80c9
hexc24e70

12734064 has 80 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 3637440.

The previous prime is 12734027. The next prime is 12734069. The reversal of 12734064 is 46043721.

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 (12734069) 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, 919 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 212734064 is an apocalyptic number.

12734064 is a gapful number since it is divisible by the number (14) 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 12734064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

12734064 is an abundant number, since it is smaller than the sum of its proper divisors (29048976).

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

12734064 is a wasteful number, since it uses less digits than its factorization.

12734064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 12734064 is about 3568.4820302196. The cubic root of 12734064 is about 233.5190648184.

Adding to 12734064 its reverse (46043721), we get a palindrome (58777785).

It can be divided in two parts, 127 and 34064, that added together give a triangular number (34191 = T261).

The spelling of 12734064 in words is "twelve million, seven hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4211 8422 12633 16844 25266 29477 33688 37899 50532 58954 67376 75798 88431 101064 113697 117908 151596 176862 202128 227394 235816 265293 303192 353724 454788 471632 530586 606384 707448 795879 909576 1061172 1414896 1591758 1819152 2122344 3183516 4244688 6367032 12734064