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12867480 = 23325311153
BaseRepresentation
bin110001000101…
…011110011000
3220012201212100
4301011132120
511243224410
61135443400
7214241343
oct61053630
926181770
1012867480
11729958a
124386560
132886ac2
1419cd45a
1511e28c0
hexc45798

12867480 has 96 divisors (see below), whose sum is σ = 43205760. Its totient is φ = 3317760.

The previous prime is 12867473. The next prime is 12867493. The reversal of 12867480 is 8476821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10584 + ... + 11736.

It is an arithmetic number, because the mean of its divisors is an integer number (450060).

Almost surely, 212867480 is an apocalyptic number.

12867480 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 12867480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21602880).

12867480 is an abundant number, since it is smaller than the sum of its proper divisors (30338280).

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

12867480 is a wasteful number, since it uses less digits than its factorization.

12867480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12867480 is about 3587.1269840919. The cubic root of 12867480 is about 234.3317669590.

The spelling of 12867480 in words is "twelve million, eight hundred sixty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1153 1240 1395 1860 2232 2306 2790 3459 3720 4612 5580 5765 6918 9224 10377 11160 11530 13836 17295 20754 23060 27672 34590 35743 41508 46120 51885 69180 71486 83016 103770 107229 138360 142972 178715 207540 214458 285944 321687 357430 415080 428916 536145 643374 714860 857832 1072290 1286748 1429720 1608435 2144580 2573496 3216870 4289160 6433740 12867480