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2114420 = 2257111373
BaseRepresentation
bin1000000100001101110100
310222102102212
420010031310
51020130140
6113152552
723654330
oct10041564
93872385
102114420
111214660
1285b758
13590549
143d07c0
152bb765
hex204374

2114420 has 48 divisors (see below), whose sum is σ = 5539968. Its totient is φ = 658560.

The previous prime is 2114407. The next prime is 2114429. The reversal of 2114420 is 244112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2114395 and 2114404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854 + ... + 2226.

It is an arithmetic number, because the mean of its divisors is an integer number (115416).

22114420 is an apocalyptic number.

2114420 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 2114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769984).

2114420 is an abundant number, since it is smaller than the sum of its proper divisors (3425548).

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

2114420 is a wasteful number, since it uses less digits than its factorization.

2114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2114420 is about 1454.1045354444. The cubic root of 2114420 is about 128.3503584916.

Adding to 2114420 its reverse (244112), we get a palindrome (2358532).

It can be divided in two parts, 21 and 14420, that added together give a palindrome (14441).

The spelling of 2114420 in words is "two million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1373 1540 2746 5492 6865 9611 13730 15103 19222 27460 30206 38444 48055 60412 75515 96110 105721 151030 192220 211442 302060 422884 528605 1057210 2114420