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12006630 = 239561
BaseRepresentation
bin101101110011…
…010011100110
3211121000000000
4231303103212
511033203010
61105202130
7204024516
oct55632346
924530000
1012006630
116860839
124030346
13264501c
141847846
1510c27c0
hexb734e6

12006630 has 80 divisors (see below), whose sum is σ = 32948784. Its totient is φ = 3149280.

The previous prime is 12006623. The next prime is 12006649. The reversal of 12006630 is 3660021.

It is a happy number.

12006630 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 663 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 196800 + ... + 196860.

Almost surely, 212006630 is an apocalyptic number.

12006630 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 12006630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474392).

12006630 is an abundant number, since it is smaller than the sum of its proper divisors (20942154).

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

12006630 is an frugal number, since it uses more digits than its factorization.

12006630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12006630 is about 3465.0584410656. The cubic root of 12006630 is about 228.9850043892.

Adding to 12006630 its reverse (3660021), we get a palindrome (15666651).

The spelling of 12006630 in words is "twelve million, six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 243 270 305 366 405 486 549 610 729 810 915 1098 1215 1458 1647 1830 2187 2430 2745 3294 3645 4374 4941 5490 6561 7290 8235 9882 10935 13122 14823 16470 19683 21870 24705 29646 32805 39366 44469 49410 65610 74115 88938 98415 133407 148230 196830 222345 266814 400221 444690 667035 800442 1200663 1334070 2001105 2401326 4002210 6003315 12006630