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2077020 = 22325111049
BaseRepresentation
bin111111011000101011100
310220112010200
413323011130
51012431040
6112303500
723440311
oct7730534
93815120
102077020
111199550
12841b90
1357950a
143c0d08
152b0630
hex1fb15c

2077020 has 72 divisors (see below), whose sum is σ = 6879600. Its totient is φ = 503040.

The previous prime is 2077007. The next prime is 2077021. The reversal of 2077020 is 207702.

2077020 = T285 + T286 + ... + T328.

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 = 2076984 and 2077002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077021) 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 23 ways as a sum of consecutive naturals, for example, 1456 + ... + 2504.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

22077020 is an apocalyptic number.

2077020 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 2077020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439800).

2077020 is an abundant number, since it is smaller than the sum of its proper divisors (4802580).

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

2077020 is a wasteful number, since it uses less digits than its factorization.

2077020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 2077020 is about 1441.1870107658. The cubic root of 2077020 is about 127.5890957424.

It can be divided in two parts, 207 and 7020, that added together give a palindrome (7227).

The spelling of 2077020 in words is "two million, seventy-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1049 1980 2098 3147 4196 5245 6294 9441 10490 11539 12588 15735 18882 20980 23078 31470 34617 37764 46156 47205 57695 62940 69234 94410 103851 115390 138468 173085 188820 207702 230780 346170 415404 519255 692340 1038510 2077020