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12734496 = 2534173
BaseRepresentation
bin110000100101…
…000000100000
3212221222110000
4300211000200
511230000441
61132540000
7213145545
oct60450040
925858400
1012734496
117208685
124321600
13283b408
141996bcc
1511b82b6
hexc25020

12734496 has 120 divisors (see below), whose sum is σ = 39792060. Its totient is φ = 3995136.

The previous prime is 12734471. The next prime is 12734537. The reversal of 12734496 is 69443721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12702096 + 32400 = 3564^2 + 180^2 .

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 12734496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 749080 + ... + 749096.

Almost surely, 212734496 is an apocalyptic number.

12734496 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 12734496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896030).

12734496 is an abundant number, since it is smaller than the sum of its proper divisors (27057564).

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

12734496 is an frugal number, since it uses more digits than its factorization.

12734496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 22 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 12734496 is about 3568.5425596453. The cubic root of 12734496 is about 233.5217054809.

The spelling of 12734496 in words is "twelve million, seven hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 289 306 324 408 432 459 544 578 612 648 816 864 867 918 1156 1224 1296 1377 1632 1734 1836 2312 2448 2592 2601 2754 3468 3672 4624 4896 4913 5202 5508 6936 7344 7803 9248 9826 10404 11016 13872 14688 14739 15606 19652 20808 22032 23409 27744 29478 31212 39304 41616 44064 44217 46818 58956 62424 78608 83232 88434 93636 117912 124848 132651 157216 176868 187272 235824 249696 265302 353736 374544 397953 471648 530604 707472 749088 795906 1061208 1414944 1591812 2122416 3183624 4244832 6367248 12734496