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2106140 = 225314379
BaseRepresentation
bin1000000010001100011100
310222000002012
420002030130
51014344030
6113050352
723621231
oct10021434
93860065
102106140
111209413
128569b8
1358984a
143cb788
152b9095
hex20231c

2106140 has 48 divisors (see below), whose sum is σ = 4730880. Its totient is φ = 786240.

The previous prime is 2106107. The next prime is 2106149. The reversal of 2106140 is 416012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106149) 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 15 ways as a sum of consecutive naturals, for example, 26621 + ... + 26699.

It is an arithmetic number, because the mean of its divisors is an integer number (98560).

22106140 is an apocalyptic number.

2106140 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 2106140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365440).

2106140 is an abundant number, since it is smaller than the sum of its proper divisors (2624740).

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

2106140 is a wasteful number, since it uses less digits than its factorization.

2106140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

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

The square root of 2106140 is about 1451.2546296222. The cubic root of 2106140 is about 128.1826007119.

The spelling of 2106140 in words is "two million, one hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 43 62 79 86 124 155 158 172 215 310 316 395 430 620 790 860 1333 1580 2449 2666 3397 4898 5332 6665 6794 9796 12245 13330 13588 16985 24490 26660 33970 48980 67940 105307 210614 421228 526535 1053070 2106140