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2141940 = 2235291231
BaseRepresentation
bin1000001010111011110100
311000211012010
420022323310
51022020230
6113524220
724130503
oct10127364
94024163
102141940
1112332a9
12873670
1359cc28
143da83a
152c49b0
hex20aef4

2141940 has 48 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 551040.

The previous prime is 2141929. The next prime is 2141941. The reversal of 2141940 is 491412.

2141940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1125 + ... + 2355.

It is an arithmetic number, because the mean of its divisors is an integer number (129360).

22141940 is an apocalyptic number.

2141940 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 2141940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2141940 is an abundant number, since it is smaller than the sum of its proper divisors (4067340).

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

2141940 is a wasteful number, since it uses less digits than its factorization.

2141940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2141940 is about 1463.5368119730. The cubic root of 2141940 is about 128.9048032712.

It can be divided in two parts, 2141 and 940, that added together give a triangular number (3081 = T78).

The spelling of 2141940 in words is "two million, one hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1231 1740 2462 3693 4924 6155 7386 12310 14772 18465 24620 35699 36930 71398 73860 107097 142796 178495 214194 356990 428388 535485 713980 1070970 2141940