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4111380 = 22325713251
BaseRepresentation
bin1111101011110000010100
321201212202100
433223300110
52023031010
6224042100
746642350
oct17536024
97655670
104111380
112358a39
121463330
13b0c490
14790460
155632c0
hex3ebc14

4111380 has 144 divisors (see below), whose sum is σ = 15410304. Its totient is φ = 864000.

The previous prime is 4111379. The next prime is 4111409. The reversal of 4111380 is 831114.

4111380 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×41113803 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

4111380 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16255 + ... + 16505.

It is an arithmetic number, because the mean of its divisors is an integer number (107016).

Almost surely, 24111380 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 4111380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705152).

4111380 is an abundant number, since it is smaller than the sum of its proper divisors (11298924).

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

4111380 is a wasteful number, since it uses less digits than its factorization.

4111380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 4111380 is about 2027.6538166068. The cubic root of 4111380 is about 160.2000102868.

Adding to 4111380 its reverse (831114), we get a palindrome (4942494).

The spelling of 4111380 in words is "four million, one hundred eleven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 251 252 260 273 315 364 390 420 455 468 502 546 585 630 753 780 819 910 1004 1092 1170 1255 1260 1365 1506 1638 1757 1820 2259 2340 2510 2730 3012 3263 3276 3514 3765 4095 4518 5020 5271 5460 6526 7028 7530 8190 8785 9036 9789 10542 11295 13052 15060 15813 16315 16380 17570 19578 21084 22590 22841 26355 29367 31626 32630 35140 39156 45180 45682 48945 52710 58734 63252 65260 68523 79065 91364 97890 105420 114205 117468 137046 146835 158130 195780 205569 228410 274092 293670 316260 342615 411138 456820 587340 685230 822276 1027845 1370460 2055690 4111380