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2084520 = 233529599
BaseRepresentation
bin111111100111010101000
310220220102110
413330322220
51013201040
6112402320
723501214
oct7747250
93826373
102084520
1111a4149
128463a0
1357ca59
143c3944
152b2980
hex1fcea8

2084520 has 64 divisors (see below), whose sum is σ = 6480000. Its totient is φ = 535808.

The previous prime is 2084507. The next prime is 2084531. The reversal of 2084520 is 254802.

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 15 ways as a sum of consecutive naturals, for example, 3181 + ... + 3779.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

22084520 is an apocalyptic number.

2084520 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 2084520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240000).

2084520 is an abundant number, since it is smaller than the sum of its proper divisors (4395480).

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

2084520 is a wasteful number, since it uses less digits than its factorization.

2084520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2084520 is about 1443.7866878455. The cubic root of 2084520 is about 127.7424835658.

The spelling of 2084520 in words is "two million, eighty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 599 696 870 1160 1198 1740 1797 2396 2995 3480 3594 4792 5990 7188 8985 11980 14376 17371 17970 23960 34742 35940 52113 69484 71880 86855 104226 138968 173710 208452 260565 347420 416904 521130 694840 1042260 2084520