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12740256 = 2532311427
BaseRepresentation
bin110000100110…
…011010100000
3212222021100100
4300212122200
511230142011
61133022400
7213201414
oct60463240
925867310
1012740256
117211a41
124324a00
132840c19
141998d44
1511b9d56
hexc266a0

12740256 has 72 divisors (see below), whose sum is σ = 37425024. Its totient is φ = 4106880.

The previous prime is 12740249. The next prime is 12740257. The reversal of 12740256 is 65204721.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12740257) 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, 8215 + ... + 9641.

It is an arithmetic number, because the mean of its divisors is an integer number (519792).

Almost surely, 212740256 is an apocalyptic number.

12740256 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 12740256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512).

12740256 is an abundant number, since it is smaller than the sum of its proper divisors (24684768).

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

12740256 is a wasteful number, since it uses less digits than its factorization.

12740256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12740256 is about 3569.3495205709. The cubic root of 12740256 is about 233.5569086088.

Adding to 12740256 its reverse (65204721), we get a palindrome (77944977).

It can be divided in two parts, 12740 and 256, that added together give a square (12996 = 1142).

The spelling of 12740256 in words is "twelve million, seven hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1427 1488 2232 2854 2976 4281 4464 5708 8562 8928 11416 12843 17124 22832 25686 34248 44237 45664 51372 68496 88474 102744 132711 136992 176948 205488 265422 353896 398133 410976 530844 707792 796266 1061688 1415584 1592532 2123376 3185064 4246752 6370128 12740256