Search a number
-
+
12148140 = 2235238803
BaseRepresentation
bin101110010101…
…110110101100
3211212012010010
4232111312230
511102220030
61112213220
7205154214
oct56256654
924765103
1012148140
116948094
12409a210
132694564
141883244
1510ee6b0
hexb95dac

12148140 has 48 divisors (see below), whose sum is σ = 35497728. Its totient is φ = 3098304.

The previous prime is 12148127. The next prime is 12148141. The reversal of 12148140 is 4184121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12148141) 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, 3022 + ... + 5781.

It is an arithmetic number, because the mean of its divisors is an integer number (739536).

Almost surely, 212148140 is an apocalyptic number.

12148140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12148140 is an abundant number, since it is smaller than the sum of its proper divisors (23349588).

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

12148140 is a wasteful number, since it uses less digits than its factorization.

12148140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8838 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 12148140 is about 3485.4181958554. The cubic root of 12148140 is about 229.8810979626.

The spelling of 12148140 in words is "twelve million, one hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 8803 17606 26409 35212 44015 52818 88030 105636 132045 176060 202469 264090 404938 528180 607407 809876 1012345 1214814 2024690 2429628 3037035 4049380 6074070 12148140