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12630384 = 2433132173
BaseRepresentation
bin110000001011…
…100101110000
3212202200122000
4300023211300
511213133014
61130414000
7212233164
oct60134560
925680560
1012630384
117147438
124291300
132802c00
14196aca4
151197509
hexc0b970

12630384 has 120 divisors (see below), whose sum is σ = 39484080. Its totient is φ = 3863808.

The previous prime is 12630379. The next prime is 12630389. The reversal of 12630384 is 48303621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12630379) and next prime (12630389).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12630389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72922 + ... + 73094.

It is an arithmetic number, because the mean of its divisors is an integer number (329034).

Almost surely, 212630384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12630384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19742040).

12630384 is an abundant number, since it is smaller than the sum of its proper divisors (26853696).

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

12630384 is a wasteful number, since it uses less digits than its factorization.

12630384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12630384 is about 3553.9251539671. The cubic root of 12630384 is about 232.8835708038.

The spelling of 12630384 in words is "twelve million, six hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 173 208 216 234 312 338 346 351 432 468 507 519 624 676 692 702 936 1014 1038 1352 1384 1404 1521 1557 1872 2028 2076 2249 2704 2768 2808 3042 3114 4056 4152 4498 4563 4671 5616 6084 6228 6747 8112 8304 8996 9126 9342 12168 12456 13494 17992 18252 18684 20241 24336 24912 26988 29237 35984 36504 37368 40482 53976 58474 60723 73008 74736 80964 87711 107952 116948 121446 161928 175422 233896 242892 263133 323856 350844 467792 485784 526266 701688 789399 971568 1052532 1403376 1578798 2105064 3157596 4210128 6315192 12630384