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12164130 = 23251121117
BaseRepresentation
bin101110011001…
…110000100010
3211220000001100
4232121300202
511103223010
61112415230
7205251636
oct56316042
924800040
1012164130
116959100
1240a7516
13269b914
141888dc6
1511042c0
hexb99c22

12164130 has 72 divisors (see below), whose sum is σ = 34794396. Its totient is φ = 2946240.

The previous prime is 12164101. The next prime is 12164147. The reversal of 12164130 is 3146121.

It is a happy number.

12164130 is a `hidden beast` number, since 1 + 21 + 641 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10673289 + 1490841 = 3267^2 + 1221^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 10332 + ... + 11448.

Almost surely, 212164130 is an apocalyptic number.

12164130 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 12164130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17397198).

12164130 is an abundant number, since it is smaller than the sum of its proper divisors (22630266).

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

12164130 is a wasteful number, since it uses less digits than its factorization.

12164130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12164130 is about 3487.7112839225. The cubic root of 12164130 is about 229.9819141418.

Subtracting from 12164130 its reverse (3146121), we obtain a square (9018009 = 30032).

The spelling of 12164130 in words is "twelve million, one hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1117 1210 1815 2178 2234 3351 3630 5445 5585 6702 10053 10890 11170 12287 16755 20106 24574 33510 36861 50265 61435 73722 100530 110583 122870 135157 184305 221166 270314 368610 405471 552915 675785 810942 1105830 1216413 1351570 2027355 2432826 4054710 6082065 12164130