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12065130 = 23257111741
BaseRepresentation
bin101110000001…
…100101101010
3211200222020200
4232001211222
511042041010
61110333030
7204360210
oct56014552
924628220
1012065130
1168a0790
12405a176
13266583c
141860cb0
1510d4cc0
hexb8196a

12065130 has 96 divisors (see below), whose sum is σ = 39132288. Its totient is φ = 2505600.

The previous prime is 12065113. The next prime is 12065143. The reversal of 12065130 is 3156021.

12065130 is a `hidden beast` number, since 12 + 0 + 651 + 3 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 6060 + ... + 7800.

It is an arithmetic number, because the mean of its divisors is an integer number (407628).

Almost surely, 212065130 is an apocalyptic number.

12065130 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 12065130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19566144).

12065130 is an abundant number, since it is smaller than the sum of its proper divisors (27067158).

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

12065130 is a wasteful number, since it uses less digits than its factorization.

12065130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 12065130 is about 3473.4895998117. The cubic root of 12065130 is about 229.3562971829.

It can be divided in two parts, 1206 and 5130, that added together give a palindrome (6336).

The spelling of 12065130 in words is "twelve million, sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 1741 2310 3465 3482 5223 6930 8705 10446 12187 15669 17410 19151 24374 26115 31338 36561 38302 52230 57453 60935 73122 78345 95755 109683 114906 121870 134057 156690 172359 182805 191510 219366 268114 287265 344718 365610 402171 548415 574530 670285 804342 861795 1096830 1206513 1340570 1723590 2010855 2413026 4021710 6032565 12065130