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12270060 = 22325116197
BaseRepresentation
bin101110110011…
…100111101100
3212002101100200
4232303213230
511120120220
61114553500
7206202525
oct56634754
925071320
1012270060
116a20750
124138890
132707bba
1418b584c
151125890
hexbb39ec

12270060 has 72 divisors (see below), whose sum is σ = 40609296. Its totient is φ = 2974080.

The previous prime is 12270047. The next prime is 12270077. The reversal of 12270060 is 6007221.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119 + ... + 5078.

It is an arithmetic number, because the mean of its divisors is an integer number (564018).

Almost surely, 212270060 is an apocalyptic number.

12270060 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 12270060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304648).

12270060 is an abundant number, since it is smaller than the sum of its proper divisors (28339236).

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

12270060 is a wasteful number, since it uses less digits than its factorization.

12270060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6223 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12270060 is about 3502.8645420570. The cubic root of 12270060 is about 230.6475763917.

Adding to 12270060 its reverse (6007221), we get a palindrome (18277281).

It can be divided in two parts, 122700 and 60, that added together give a triangular number (122760 = T495).

The spelling of 12270060 in words is "twelve million, two hundred seventy thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6197 12394 18591 24788 30985 37182 55773 61970 68167 74364 92955 111546 123940 136334 185910 204501 223092 272668 278865 340835 371820 409002 557730 613503 681670 818004 1022505 1115460 1227006 1363340 2045010 2454012 3067515 4090020 6135030 12270060