Search a number
-
+
12381920 = 255194073
BaseRepresentation
bin101111001110…
…111011100000
3212022001210122
4233032323200
511132210140
61121215412
7210146615
oct57167340
925261718
1012381920
116a977a1
124191568
132746aa5
14190450c
151148ab5
hexbceee0

12381920 has 48 divisors (see below), whose sum is σ = 30799440. Its totient is φ = 4690944.

The previous prime is 12381911. The next prime is 12381931. The reversal of 12381920 is 2918321.

It is a self number, because there is not a number n which added to its sum of digits gives 12381920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1004 + ... + 5076.

It is an arithmetic number, because the mean of its divisors is an integer number (641655).

Almost surely, 212381920 is an apocalyptic number.

12381920 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 12381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399720).

12381920 is an abundant number, since it is smaller than the sum of its proper divisors (18417520).

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

12381920 is a wasteful number, since it uses less digits than its factorization.

12381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 12381920 is about 3518.7952483769. The cubic root of 12381920 is about 231.3463567281.

The spelling of 12381920 in words is "twelve million, three hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 4073 8146 16292 20365 32584 40730 65168 77387 81460 130336 154774 162920 309548 325840 386935 619096 651680 773870 1238192 1547740 2476384 3095480 6190960 12381920