Search a number
-
+
12377142 = 23229131181
BaseRepresentation
bin101111001101…
…110000110110
3212021211020200
4233031300312
511132032032
61121141330
7210126651
oct57156066
925254220
1012377142
116a94148
12418a846
13274486b
141902898
15114747c
hexbcdc36

12377142 has 48 divisors (see below), whose sum is σ = 28108080. Its totient is φ = 3931200.

The previous prime is 12377119. The next prime is 12377147. The reversal of 12377142 is 24177321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12377147) 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, 68292 + ... + 68472.

It is an arithmetic number, because the mean of its divisors is an integer number (585585).

Almost surely, 212377142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12377142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054040).

12377142 is an abundant number, since it is smaller than the sum of its proper divisors (15730938).

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

12377142 is a wasteful number, since it uses less digits than its factorization.

12377142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 346 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 12377142 is about 3518.1162573173. The cubic root of 12377142 is about 231.3165951858.

The spelling of 12377142 in words is "twelve million, three hundred seventy-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 131 174 181 261 262 362 393 522 543 786 1086 1179 1629 2358 3258 3799 5249 7598 10498 11397 15747 22794 23711 31494 34191 47241 47422 68382 71133 94482 142266 213399 426798 687619 1375238 2062857 4125714 6188571 12377142