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2114140 = 225715101
BaseRepresentation
bin1000000100001001011100
310222102001111
420010021130
51020123030
6113151404
723653450
oct10041134
93872044
102114140
111214426
1285b564
13590392
143d0660
152bb62a
hex20425c

2114140 has 24 divisors (see below), whose sum is σ = 5074272. Its totient is φ = 724800.

The previous prime is 2114113. The next prime is 2114141. The reversal of 2114140 is 414112.

It is a self number, because there is not a number n which added to its sum of digits gives 2114140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7411 + ... + 7690.

It is an arithmetic number, because the mean of its divisors is an integer number (211428).

22114140 is an apocalyptic number.

2114140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114140 is an abundant number, since it is smaller than the sum of its proper divisors (2960132).

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

2114140 is a wasteful number, since it uses less digits than its factorization.

2114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117 (or 15115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2114140 is about 1454.0082530715. The cubic root of 2114140 is about 128.3446926847.

Adding to 2114140 its reverse (414112), we get a palindrome (2528252).

It can be divided in two parts, 21 and 14140, that added together give a square (14161 = 1192).

The spelling of 2114140 in words is "two million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 15101 30202 60404 75505 105707 151010 211414 302020 422828 528535 1057070 2114140