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2106340 = 2251923241
BaseRepresentation
bin1000000010001111100100
310222000100121
420002033210
51014400330
6113051324
723621635
oct10021744
93860317
102106340
111209585
12856b44
13589972
143cb88c
152b917a
hex2023e4

2106340 has 48 divisors (see below), whose sum is σ = 4878720. Its totient is φ = 760320.

The previous prime is 2106337. The next prime is 2106341. The reversal of 2106340 is 436012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106341) 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, 8620 + ... + 8860.

It is an arithmetic number, because the mean of its divisors is an integer number (101640).

22106340 is an apocalyptic number.

2106340 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 2106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439360).

2106340 is an abundant number, since it is smaller than the sum of its proper divisors (2772380).

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

2106340 is a wasteful number, since it uses less digits than its factorization.

2106340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2106340 is about 1451.3235338821. The cubic root of 2106340 is about 128.1866580093.

The spelling of 2106340 in words is "two million, one hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 241 380 437 460 482 874 964 1205 1748 2185 2410 4370 4579 4820 5543 8740 9158 11086 18316 22172 22895 27715 45790 55430 91580 105317 110860 210634 421268 526585 1053170 2106340