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12084270 = 2351123329
BaseRepresentation
bin101110000110…
…010000101110
3211201221111120
4232012100232
511043144040
61111001410
7204500052
oct56062056
924657446
1012084270
116904100
124069266
132671473
141867c62
1510da7d0
hexb8642e

12084270 has 48 divisors (see below), whose sum is σ = 31888080. Its totient is φ = 2928640.

The previous prime is 12084257. The next prime is 12084277. The reversal of 12084270 is 7248021.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12084270.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12084277) by changing a digit.

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, 1966 + ... + 5294.

It is an arithmetic number, because the mean of its divisors is an integer number (664335).

Almost surely, 212084270 is an apocalyptic number.

12084270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944040).

12084270 is an abundant number, since it is smaller than the sum of its proper divisors (19803810).

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

12084270 is a wasteful number, since it uses less digits than its factorization.

12084270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12084270 is about 3476.2436623459. The cubic root of 12084270 is about 229.4775159409.

It can be divided in two parts, 120 and 84270, that multiplied together give a square (10112400 = 31802).

The spelling of 12084270 in words is "twelve million, eighty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3329 3630 6658 9987 16645 19974 33290 36619 49935 73238 99870 109857 183095 219714 366190 402809 549285 805618 1098570 1208427 2014045 2416854 4028090 6042135 12084270