Search a number
-
+
4276160 = 26572383
BaseRepresentation
bin10000010011111111000000
322001020210022
4100103333000
52043314120
6231353012
751226640
oct20237700
98036708
104276160
112460819
121522768
13b69495
147d4520
15597025
hex413fc0

4276160 has 112 divisors (see below), whose sum is σ = 12289536. Its totient is φ = 1385472.

The previous prime is 4276157. The next prime is 4276211. The reversal of 4276160 is 616724.

4276160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 51479 + ... + 51561.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

Almost surely, 24276160 is an apocalyptic number.

4276160 is a gapful number since it is divisible by the number (40) 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 4276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768).

4276160 is an abundant number, since it is smaller than the sum of its proper divisors (8013376).

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

4276160 is a wasteful number, since it uses less digits than its factorization.

4276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 4276160 is about 2067.8878112702. The cubic root of 4276160 is about 162.3122565480.

The spelling of 4276160 in words is "four million, two hundred seventy-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 83 92 112 115 140 160 161 166 184 224 230 280 320 322 332 368 415 448 460 560 581 644 664 736 805 830 920 1120 1162 1288 1328 1472 1610 1660 1840 1909 2240 2324 2576 2656 2905 3220 3320 3680 3818 4648 5152 5312 5810 6440 6640 7360 7636 9296 9545 10304 11620 12880 13280 13363 15272 18592 19090 23240 25760 26560 26726 30544 37184 38180 46480 51520 53452 61088 66815 76360 92960 106904 122176 133630 152720 185920 213808 267260 305440 427616 534520 610880 855232 1069040 2138080 4276160