Search a number
-
+
4129380 = 223452549
BaseRepresentation
bin1111110000001001100100
321202210110000
433300021210
52024120010
6224301300
750046003
oct17601144
97683400
104129380
112370512
121471830
13b17728
14796c3a
155687c0
hex3f0264

4129380 has 60 divisors (see below), whose sum is σ = 12959100. Its totient is φ = 1100736.

The previous prime is 4129369. The next prime is 4129381. The reversal of 4129380 is 839214.

It can be written as a sum of positive squares in 2 ways, for example, as 2802276 + 1327104 = 1674^2 + 1152^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4129381) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 346 + ... + 2894.

It is an arithmetic number, because the mean of its divisors is an integer number (215985).

Almost surely, 24129380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479550).

4129380 is an abundant number, since it is smaller than the sum of its proper divisors (8829720).

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

4129380 is a wasteful number, since it uses less digits than its factorization.

4129380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4129380 is about 2032.0875965371. The cubic root of 4129380 is about 160.4334600586.

The spelling of 4129380 in words is "four million, one hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2549 5098 7647 10196 12745 15294 22941 25490 30588 38235 45882 50980 68823 76470 91764 114705 137646 152940 206469 229410 275292 344115 412938 458820 688230 825876 1032345 1376460 2064690 4129380