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2052180 = 2232513877
BaseRepresentation
bin111110101000001010100
310212021001200
413311001110
51011132210
6111552500
723305014
oct7650124
93767050
102052180
111181919
1282b730
1356b110
143b5c44
152a80c0
hex1f5054

2052180 has 72 divisors (see below), whose sum is σ = 6711432. Its totient is φ = 504576.

The previous prime is 2052179. The next prime is 2052181. The reversal of 2052180 is 812502.

It is an interprime number because it is at equal distance from previous prime (2052179) and next prime (2052181).

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 1855044 = 444^2 + 1362^2 .

It is a super-2 number, since 2×20521802 = 8422885504800, which contains 22 as substring.

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 (2052181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1902 + ... + 2778.

22052180 is an apocalyptic number.

2052180 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 2052180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355716).

2052180 is an abundant number, since it is smaller than the sum of its proper divisors (4659252).

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

2052180 is a wasteful number, since it uses less digits than its factorization.

2052180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 900 counting only the distinct ones).

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

The square root of 2052180 is about 1432.5431930661. The cubic root of 2052180 is about 127.0784230537.

Adding to 2052180 its reverse (812502), we get a palindrome (2864682).

The spelling of 2052180 in words is "two million, fifty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 877 1170 1754 2340 2631 3508 4385 5262 7893 8770 10524 11401 13155 15786 17540 22802 26310 31572 34203 39465 45604 52620 57005 68406 78930 102609 114010 136812 157860 171015 205218 228020 342030 410436 513045 684060 1026090 2052180