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12722480 = 2451091459
BaseRepresentation
bin110000100010…
…000100110000
3212221100221222
4300202010300
511224104410
61132404212
7213065531
oct60420460
925840858
1012722480
1171aa651
124316668
132835ac4
141992688
1511b4955
hexc22130

12722480 has 40 divisors (see below), whose sum is σ = 29871600. Its totient is φ = 5038848.

The previous prime is 12722459. The next prime is 12722497. The reversal of 12722480 is 8422721.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×127224802 = 323722994700800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7991 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (746790).

Almost surely, 212722480 is an apocalyptic number.

12722480 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 12722480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935800).

12722480 is an abundant number, since it is smaller than the sum of its proper divisors (17149120).

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

12722480 is a wasteful number, since it uses less digits than its factorization.

12722480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 12722480 is about 3566.8585618160. The cubic root of 12722480 is about 233.4482336598.

The spelling of 12722480 in words is "twelve million, seven hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1459 1744 2180 2918 4360 5836 7295 8720 11672 14590 23344 29180 58360 116720 159031 318062 636124 795155 1272248 1590310 2544496 3180620 6361240 12722480