Search a number
-
+
12672100 = 2252743421
BaseRepresentation
bin110000010101…
…110001100100
3212211210212001
4300111301210
511221001400
61131335044
7212465620
oct60256144
925753761
1012672100
117175811
1242b1484
132818bac
14197c180
1511a4a6a
hexc15c64

12672100 has 72 divisors (see below), whose sum is σ = 32234048. Its totient is φ = 4233600.

The previous prime is 12672097. The next prime is 12672113. The reversal of 12672100 is 127621.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29890 + ... + 30310.

Almost surely, 212672100 is an apocalyptic number.

12672100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16117024).

12672100 is an abundant number, since it is smaller than the sum of its proper divisors (19561948).

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

12672100 is a wasteful number, since it uses less digits than its factorization.

12672100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 12672100 is about 3559.7893196087. The cubic root of 12672100 is about 233.1396805941.

Adding to 12672100 its reverse (127621), we get a palindrome (12799721).

The spelling of 12672100 in words is "twelve million, six hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 421 430 602 700 842 860 1075 1204 1505 1684 2105 2150 2947 3010 4210 4300 5894 6020 7525 8420 10525 11788 14735 15050 18103 21050 29470 30100 36206 42100 58940 72412 73675 90515 126721 147350 181030 253442 294700 362060 452575 506884 633605 905150 1267210 1810300 2534420 3168025 6336050 12672100