Search a number
-
+
12300132 = 22313372131
BaseRepresentation
bin101110111010…
…111101100100
3212010220121110
4232322331210
511122101012
61115345020
7206356305
oct56727544
925126543
1012300132
116a412a9
124152170
1327187b0
1418c27ac
15112e73c
hexbbaf64

12300132 has 48 divisors (see below), whose sum is σ = 31758272. Its totient is φ = 3680640.

The previous prime is 12300131. The next prime is 12300133. The reversal of 12300132 is 23100321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12300131) and next prime (12300133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12300131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4707 + ... + 6837.

Almost surely, 212300132 is an apocalyptic number.

12300132 is a gapful number since it is divisible by the number (12) 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 12300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15879136).

12300132 is an abundant number, since it is smaller than the sum of its proper divisors (19458140).

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

12300132 is a wasteful number, since it uses less digits than its factorization.

12300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12300132 is about 3507.1544020758. The cubic root of 12300132 is about 230.8358497237.

Adding to 12300132 its reverse (23100321), we get a palindrome (35400453).

The spelling of 12300132 in words is "twelve million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2131 2886 4262 5772 6393 8524 12786 25572 27703 55406 78847 83109 110812 157694 166218 236541 315388 332436 473082 946164 1025011 2050022 3075033 4100044 6150066 12300132