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2055060 = 2232572233
BaseRepresentation
bin111110101101110010100
310212102000100
413311232110
51011230220
6112014100
723316300
oct7655624
93772010
102055060
111183aa7
12831330
1356c517
143b6d00
152a8d90
hex1f5b94

2055060 has 108 divisors (see below), whose sum is σ = 7282548. Its totient is φ = 467712.

The previous prime is 2055041. The next prime is 2055061. The reversal of 2055060 is 605502.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 1483524 = 756^2 + 1218^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055061) 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 35 ways as a sum of consecutive naturals, for example, 8704 + ... + 8936.

It is an arithmetic number, because the mean of its divisors is an integer number (67431).

22055060 is an apocalyptic number.

2055060 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 2055060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641274).

2055060 is an abundant number, since it is smaller than the sum of its proper divisors (5227488).

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

2055060 is a wasteful number, since it uses less digits than its factorization.

2055060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2055060 is about 1433.5480459336. The cubic root of 2055060 is about 127.1378419457.

The spelling of 2055060 in words is "two million, fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 233 245 252 294 315 420 441 466 490 588 630 699 735 882 932 980 1165 1260 1398 1470 1631 1764 2097 2205 2330 2796 2940 3262 3495 4194 4410 4660 4893 6524 6990 8155 8388 8820 9786 10485 11417 13980 14679 16310 19572 20970 22834 24465 29358 32620 34251 41940 45668 48930 57085 58716 68502 73395 97860 102753 114170 137004 146790 171255 205506 228340 293580 342510 411012 513765 685020 1027530 2055060