Search a number
-
+
12141380 = 2251989359
BaseRepresentation
bin101110010100…
…001101000100
3211211211211202
4232110031010
511102011010
61112122032
7205125416
oct56241504
924754752
1012141380
116942aa9
124096318
132691464
1418809b6
1510ec6a5
hexb94344

12141380 has 48 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 4536576.

The previous prime is 12141377. The next prime is 12141403. The reversal of 12141380 is 8314121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33641 + ... + 33999.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 212141380 is an apocalyptic number.

12141380 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 12141380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

12141380 is an abundant number, since it is smaller than the sum of its proper divisors (15074620).

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

12141380 is a wasteful number, since it uses less digits than its factorization.

12141380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12141380 is about 3484.4483064038. The cubic root of 12141380 is about 229.8384498821.

It can be divided in two parts, 12141 and 380, that added together give a palindrome (12521).

The spelling of 12141380 in words is "twelve million, one hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 178 190 356 359 380 445 718 890 1436 1691 1780 1795 3382 3590 6764 6821 7180 8455 13642 16910 27284 31951 33820 34105 63902 68210 127804 136420 159755 319510 607069 639020 1214138 2428276 3035345 6070690 12141380