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2105424 = 243214621
BaseRepresentation
bin1000000010000001010000
310221222002200
420002001100
51014333144
6113043200
723616156
oct10020120
93858080
102105424
111208922
12856500
13589419
143cb3d6
152b8c69
hex202050

2105424 has 30 divisors (see below), whose sum is σ = 5892666. Its totient is φ = 701760.

The previous prime is 2105419. The next prime is 2105431. The reversal of 2105424 is 4245012.

It can be written as a sum of positive squares in only one way, i.e., 1065024 + 1040400 = 1032^2 + 1020^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2105397 and 2105406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7167 + ... + 7454.

22105424 is an apocalyptic number.

2105424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2105424 is an abundant number, since it is smaller than the sum of its proper divisors (3787242).

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

2105424 is a wasteful number, since it uses less digits than its factorization.

2105424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14635 (or 14626 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2105424 is about 1451.0079255469. The cubic root of 2105424 is about 128.1680734813.

The spelling of 2105424 in words is "two million, one hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14621 29242 43863 58484 87726 116968 131589 175452 233936 263178 350904 526356 701808 1052712 2105424