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2012780 = 2257111307
BaseRepresentation
bin111101011011001101100
310210021000102
413223121230
51003402110
6111050232
723052110
oct7533154
93707012
102012780
111155260
12810978
135561c3
143a5740
1529b5a5
hex1eb66c

2012780 has 48 divisors (see below), whose sum is σ = 5273856. Its totient is φ = 626880.

The previous prime is 2012767. The next prime is 2012789. The reversal of 2012780 is 872102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2012789) 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 15 ways as a sum of consecutive naturals, for example, 887 + ... + 2193.

It is an arithmetic number, because the mean of its divisors is an integer number (109872).

22012780 is an apocalyptic number.

2012780 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 2012780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636928).

2012780 is an abundant number, since it is smaller than the sum of its proper divisors (3261076).

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

2012780 is a wasteful number, since it uses less digits than its factorization.

2012780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2012780 is about 1418.7247795115. The cubic root of 2012780 is about 126.2598985802.

Adding to 2012780 its reverse (872102), we get a palindrome (2884882).

The spelling of 2012780 in words is "two million, twelve thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1307 1540 2614 5228 6535 9149 13070 14377 18298 26140 28754 36596 45745 57508 71885 91490 100639 143770 182980 201278 287540 402556 503195 1006390 2012780