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2082420 = 2232523503
BaseRepresentation
bin111111100011001110100
310220210112200
413330121310
51013114140
6112344500
723462124
oct7743164
93823480
102082420
1111a260a
12845130
1357bb02
143c2c84
152b2030
hex1fc674

2082420 has 72 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 530112.

The previous prime is 2082413. The next prime is 2082439. The reversal of 2082420 is 242802.

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 = 2082393 and 2082402.

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 23 ways as a sum of consecutive naturals, for example, 3889 + ... + 4391.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

22082420 is an apocalyptic number.

2082420 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 2082420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2082420 is an abundant number, since it is smaller than the sum of its proper divisors (4521996).

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

2082420 is a wasteful number, since it uses less digits than its factorization.

2082420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2082420 is about 1443.0592503428. The cubic root of 2082420 is about 127.6995721122.

It can be divided in two parts, 208 and 2420, that added together give a triangular number (2628 = T72).

The spelling of 2082420 in words is "two million, eighty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 503 690 828 1006 1035 1380 1509 2012 2070 2515 3018 4140 4527 5030 6036 7545 9054 10060 11569 15090 18108 22635 23138 30180 34707 45270 46276 57845 69414 90540 104121 115690 138828 173535 208242 231380 347070 416484 520605 694140 1041210 2082420