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12732480 = 263254421
BaseRepresentation
bin110000100100…
…100001000000
3212221212200100
4300210201000
511224414410
61132522400
7213136635
oct60444100
925855610
1012732480
117207112
124320400
13283a517
14199618c
1511b78c0
hexc24840

12732480 has 84 divisors (see below), whose sum is σ = 43804332. Its totient is φ = 3394560.

The previous prime is 12732457. The next prime is 12732481. The reversal of 12732480 is 8423721.

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 4981824 = 2784^2 + 2232^2 .

It is not an unprimeable number, because it can be changed into a prime (12732481) 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, 670 + ... + 5090.

Almost surely, 212732480 is an apocalyptic number.

12732480 is a gapful number since it is divisible by the number (10) 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 12732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902166).

12732480 is an abundant number, since it is smaller than the sum of its proper divisors (31071852).

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

12732480 is a wasteful number, since it uses less digits than its factorization.

12732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12732480 is about 3568.2600802072. The cubic root of 12732480 is about 233.5093818783.

The spelling of 12732480 in words is "twelve million, seven hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4421 8842 13263 17684 22105 26526 35368 39789 44210 53052 66315 70736 79578 88420 106104 132630 141472 159156 176840 198945 212208 265260 282944 318312 353680 397890 424416 530520 636624 707360 795780 848832 1061040 1273248 1414720 1591560 2122080 2546496 3183120 4244160 6366240 12732480