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2083420 = 225731427
BaseRepresentation
bin111111100101001011100
310220211220201
413330221130
51013132140
6112353244
723465053
oct7745134
93824821
102083420
1111a3339
12845824
1357c3c1
143c339a
152b249a
hex1fca5c

2083420 has 24 divisors (see below), whose sum is σ = 4438224. Its totient is φ = 821376.

The previous prime is 2083399. The next prime is 2083421. The reversal of 2083420 is 243802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 747 + ... + 2173.

It is an arithmetic number, because the mean of its divisors is an integer number (184926).

22083420 is an apocalyptic number.

2083420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2083420 is an abundant number, since it is smaller than the sum of its proper divisors (2354804).

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

2083420 is a wasteful number, since it uses less digits than its factorization.

2083420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2083420 is about 1443.4056948758. The cubic root of 2083420 is about 127.7200097339.

The spelling of 2083420 in words is "two million, eighty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1427 1460 2854 5708 7135 14270 28540 104171 208342 416684 520855 1041710 2083420