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12054420 = 2234571063
BaseRepresentation
bin101101111110…
…111110010100
3211200102120000
4231332332110
511041220140
61110211300
7204314040
oct55767624
924612500
1012054420
116893734
124053b30
1326609c1
14185b020
1510d1a30
hexb7ef94

12054420 has 120 divisors (see below), whose sum is σ = 43257984. Its totient is φ = 2752704.

The previous prime is 12054409. The next prime is 12054421. The reversal of 12054420 is 2445021.

12054420 is a `hidden beast` number, since 120 + 544 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12054393 and 12054402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12054421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10809 + ... + 11871.

Almost surely, 212054420 is an apocalyptic number.

12054420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12054420 is the 2835-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12054420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21628992).

12054420 is an abundant number, since it is smaller than the sum of its proper divisors (31203564).

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

12054420 is a wasteful number, since it uses less digits than its factorization.

12054420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12054420 is about 3471.9475802494. The cubic root of 12054420 is about 229.2884119319.

Adding to 12054420 its reverse (2445021), we get a palindrome (14499441).

It can be divided in two parts, 1205 and 4420, that added together give a square (5625 = 752).

The spelling of 12054420 in words is "twelve million, fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1063 1134 1260 1620 1890 2126 2268 2835 3189 3780 4252 5315 5670 6378 7441 9567 10630 11340 12756 14882 15945 19134 21260 22323 28701 29764 31890 37205 38268 44646 47835 57402 63780 66969 74410 86103 89292 95670 111615 114804 133938 143505 148820 172206 191340 200907 223230 267876 287010 334845 344412 401814 430515 446460 574020 602721 669690 803628 861030 1004535 1205442 1339380 1722060 2009070 2410884 3013605 4018140 6027210 12054420