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2105620 = 2251117563
BaseRepresentation
bin1000000010000100010100
310221222100221
420002010110
51014334440
6113044124
723616556
oct10020424
93858327
102105620
111208a90
12856644
1358953a
143cb4d6
152b8d4a
hex202114

2105620 has 48 divisors (see below), whose sum is σ = 5116608. Its totient is φ = 719360.

The previous prime is 2105611. The next prime is 2105641. The reversal of 2105620 is 265012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2105594 and 2105603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3459 + ... + 4021.

It is an arithmetic number, because the mean of its divisors is an integer number (106596).

22105620 is an apocalyptic number.

2105620 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 2105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558304).

2105620 is an abundant number, since it is smaller than the sum of its proper divisors (3010988).

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

2105620 is a wasteful number, since it uses less digits than its factorization.

2105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2105620 is about 1451.0754632341. The cubic root of 2105620 is about 128.1720505366.

The spelling of 2105620 in words is "two million, one hundred five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 563 748 935 1126 1870 2252 2815 3740 5630 6193 9571 11260 12386 19142 24772 30965 38284 47855 61930 95710 105281 123860 191420 210562 421124 526405 1052810 2105620