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12405780 = 22325413
BaseRepresentation
bin101111010100…
…110000010100
3212100021112100
4233110300110
511133441110
61121522100
7210306312
oct57246024
925307470
1012405780
117003712
1241a3330
1327548ca
14190d0b2
151150bc0
hexbd4c14

12405780 has 72 divisors (see below), whose sum is σ = 38571624. Its totient is φ = 3227520.

The previous prime is 12405779. The next prime is 12405793. The reversal of 12405780 is 8750421.

It can be written as a sum of positive squares in 4 ways, for example, as 7817616 + 4588164 = 2796^2 + 2142^2 .

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, 302560 + ... + 302600.

It is an arithmetic number, because the mean of its divisors is an integer number (535717).

Almost surely, 212405780 is an apocalyptic number.

12405780 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 12405780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19285812).

12405780 is an abundant number, since it is smaller than the sum of its proper divisors (26165844).

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

12405780 is an equidigital number, since it uses as much as digits as its factorization.

12405780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12405780 is about 3522.1839815660. The cubic root of 12405780 is about 231.4948631047.

The spelling of 12405780 in words is "twelve million, four hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1681 1845 2460 3362 3690 5043 6724 7380 8405 10086 15129 16810 20172 25215 30258 33620 50430 60516 68921 75645 100860 137842 151290 206763 275684 302580 344605 413526 620289 689210 827052 1033815 1240578 1378420 2067630 2481156 3101445 4135260 6202890 12405780