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12605220 = 2234531251
BaseRepresentation
bin110000000101…
…011100100100
3212201102010000
4300011130210
511211331340
61130101300
7212066625
oct60053444
925642100
1012605220
11712a541
12427a830
1327c4614
141961a4c
15118ed30
hexc05724

12605220 has 120 divisors (see below), whose sum is σ = 40981248. Its totient is φ = 3240000.

The previous prime is 12605207. The next prime is 12605221. The reversal of 12605220 is 2250621.

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 = 12605193 and 12605202.

It is not an unprimeable number, because it can be changed into a prime (12605221) 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, 50095 + ... + 50345.

Almost surely, 212605220 is an apocalyptic number.

12605220 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 12605220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490624).

12605220 is an abundant number, since it is smaller than the sum of its proper divisors (28376028).

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

12605220 is a wasteful number, since it uses less digits than its factorization.

12605220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12605220 is about 3550.3830779227. The cubic root of 12605220 is about 232.7288070115.

Adding to 12605220 its reverse (2250621), we get a palindrome (14855841).

The spelling of 12605220 in words is "twelve million, six hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 251 270 279 310 324 372 405 465 502 540 558 620 753 810 837 930 1004 1116 1255 1395 1506 1620 1674 1860 2259 2510 2511 2790 3012 3348 3765 4185 4518 5020 5022 5580 6777 7530 7781 8370 9036 10044 11295 12555 13554 15060 15562 16740 20331 22590 23343 25110 27108 31124 33885 38905 40662 45180 46686 50220 67770 70029 77810 81324 93372 101655 116715 135540 140058 155620 203310 210087 233430 280116 350145 406620 420174 466860 630261 700290 840348 1050435 1260522 1400580 2100870 2521044 3151305 4201740 6302610 12605220