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2066120 = 235747157
BaseRepresentation
bin111111000011011001000
310212222011222
413320123020
51012103440
6112141212
723363450
oct7703310
93788158
102066120
111191341
12837808
13574574
143bad60
152ac2b5
hex1f86c8

2066120 has 64 divisors (see below), whose sum is σ = 5460480. Its totient is φ = 688896.

The previous prime is 2066111. The next prime is 2066123. The reversal of 2066120 is 216602.

It is not an unprimeable number, because it can be changed into a prime (2066123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13082 + ... + 13238.

It is an arithmetic number, because the mean of its divisors is an integer number (85320).

22066120 is an apocalyptic number.

2066120 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 2066120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730240).

2066120 is an abundant number, since it is smaller than the sum of its proper divisors (3394360).

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

2066120 is a wasteful number, since it uses less digits than its factorization.

2066120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2066120 is about 1437.4004313343. The cubic root of 2066120 is about 127.3655124273.

The spelling of 2066120 in words is "two million, sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 157 188 235 280 314 329 376 470 628 658 785 940 1099 1256 1316 1570 1645 1880 2198 2632 3140 3290 4396 5495 6280 6580 7379 8792 10990 13160 14758 21980 29516 36895 43960 51653 59032 73790 103306 147580 206612 258265 295160 413224 516530 1033060 2066120