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12054960 = 243355581
BaseRepresentation
bin101101111111…
…000110110000
3211200110022000
4231333012300
511041224320
61110214000
7204315441
oct55770660
924613260
1012054960
116894085
124054300
132661018
14185b2c8
1510d1c90
hexb7f1b0

12054960 has 80 divisors (see below), whose sum is σ = 41530080. Its totient is φ = 3214080.

The previous prime is 12054929. The next prime is 12054971. The reversal of 12054960 is 6945021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631 + ... + 4950.

It is an arithmetic number, because the mean of its divisors is an integer number (519126).

Almost surely, 212054960 is an apocalyptic number.

12054960 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 12054960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20765040).

12054960 is an abundant number, since it is smaller than the sum of its proper divisors (29475120).

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

12054960 is a wasteful number, since it uses less digits than its factorization.

12054960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12054960 is about 3472.0253455296. The cubic root of 12054960 is about 229.2918356800.

Adding to 12054960 its reverse (6945021), we get a palindrome (18999981).

The spelling of 12054960 in words is "twelve million, fifty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5581 11162 16743 22324 27905 33486 44648 50229 55810 66972 83715 89296 100458 111620 133944 150687 167430 200916 223240 251145 267888 301374 334860 401832 446480 502290 602748 669720 753435 803664 1004580 1205496 1339440 1506870 2009160 2410992 3013740 4018320 6027480 12054960