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2121140 = 2257109139
BaseRepresentation
bin1000000101110110110100
310222202122202
420011312310
51020334030
6113244032
724013040
oct10056664
93882582
102121140
11121970a
12863618
13593618
143d3020
152bd745
hex205db4

2121140 has 48 divisors (see below), whose sum is σ = 5174400. Its totient is φ = 715392.

The previous prime is 2121131. The next prime is 2121143. The reversal of 2121140 is 411212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121143) 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, 15191 + ... + 15329.

It is an arithmetic number, because the mean of its divisors is an integer number (107800).

22121140 is an apocalyptic number.

2121140 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 2121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587200).

2121140 is an abundant number, since it is smaller than the sum of its proper divisors (3053260).

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

2121140 is a wasteful number, since it uses less digits than its factorization.

2121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2121140 is about 1456.4134028496. The cubic root of 2121140 is about 128.4861880616.

Adding to 2121140 its reverse (411212), we get a palindrome (2532352).

The spelling of 2121140 in words is "two million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 139 140 218 278 436 545 556 695 763 973 1090 1390 1526 1946 2180 2780 3052 3815 3892 4865 7630 9730 15151 15260 19460 30302 60604 75755 106057 151510 212114 303020 424228 530285 1060570 2121140