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2180520 = 23345673
BaseRepresentation
bin1000010100010110101000
311002210010000
420110112220
51024234040
6114423000
724351126
oct10242650
94083100
102180520
11125a291
12891a60
135b4664
1440a916
152d1130
hex2145a8

2180520 has 80 divisors (see below), whose sum is σ = 7339860. Its totient is φ = 580608.

The previous prime is 2180501. The next prime is 2180527. The reversal of 2180520 is 250812.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 54756 = 1458^2 + 234^2 .

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 = 2180493 and 2180502.

It is not an unprimeable number, because it can be changed into a prime (2180527) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2904 + ... + 3576.

22180520 is an apocalyptic number.

2180520 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 2180520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669930).

2180520 is an abundant number, since it is smaller than the sum of its proper divisors (5159340).

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

2180520 is a wasteful number, since it uses less digits than its factorization.

2180520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2180520 is about 1476.6583897435. The cubic root of 2180520 is about 129.6741345398.

The spelling of 2180520 in words is "two million, one hundred eighty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 673 810 1080 1346 1620 2019 2692 3240 3365 4038 5384 6057 6730 8076 10095 12114 13460 16152 18171 20190 24228 26920 30285 36342 40380 48456 54513 60570 72684 80760 90855 109026 121140 145368 181710 218052 242280 272565 363420 436104 545130 726840 1090260 2180520