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2046420 = 2232511369
BaseRepresentation
bin111110011100111010100
310211222011100
413303213110
51010441140
6111510100
723252145
oct7634724
93758140
102046420
111178562
12828330
135685cc
143b3acc
152a6530
hex1f39d4

2046420 has 36 divisors (see below), whose sum is σ = 6208020. Its totient is φ = 545664.

The previous prime is 2046419. The next prime is 2046431. The reversal of 2046420 is 246402.

2046420 is a `hidden beast` number, since 20 + 4 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 956484 + 1089936 = 978^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2046393 and 2046402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5505 + ... + 5864.

It is an arithmetic number, because the mean of its divisors is an integer number (172445).

22046420 is an apocalyptic number.

2046420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2046420 is an abundant number, since it is smaller than the sum of its proper divisors (4161600).

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

2046420 is a wasteful number, since it uses less digits than its factorization.

2046420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2046420 is about 1430.5313698063. The cubic root of 2046420 is about 126.9594182861.

Subtracting from 2046420 its sum of digits (18), we obtain a palindrome (2046402).

The spelling of 2046420 in words is "two million, forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11369 22738 34107 45476 56845 68214 102321 113690 136428 170535 204642 227380 341070 409284 511605 682140 1023210 2046420