Search a number
-
+
2114060 = 2251347173
BaseRepresentation
bin1000000100001000001100
310222101221112
420010020030
51020122220
6113151152
723653304
oct10041014
93871845
102114060
111214363
1285b4b8
13590330
143d0604
152bb5c5
hex20420c

2114060 has 48 divisors (see below), whose sum is σ = 4910976. Its totient is φ = 759552.

The previous prime is 2114059. The next prime is 2114081. The reversal of 2114060 is 604112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12134 + ... + 12306.

It is an arithmetic number, because the mean of its divisors is an integer number (102312).

22114060 is an apocalyptic number.

2114060 is a gapful number since it is divisible by the number (20) 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 2114060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455488).

2114060 is an abundant number, since it is smaller than the sum of its proper divisors (2796916).

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

2114060 is a wasteful number, since it uses less digits than its factorization.

2114060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2114060 is about 1453.9807426510. The cubic root of 2114060 is about 128.3430737908.

Adding to 2114060 its reverse (604112), we get a palindrome (2718172).

The spelling of 2114060 in words is "two million, one hundred fourteen thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 173 188 235 260 346 470 611 692 865 940 1222 1730 2249 2444 3055 3460 4498 6110 8131 8996 11245 12220 16262 22490 32524 40655 44980 81310 105703 162620 211406 422812 528515 1057030 2114060