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2772020 = 2251731263
BaseRepresentation
bin1010100100110000110100
312012211111102
422210300310
51202201040
6135225232
732363456
oct12446064
95184442
102772020
111623729
12b18218
13760964
145222d6
1539b515
hex2a4c34

2772020 has 48 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 1006080.

The previous prime is 2772019. The next prime is 2772041. The reversal of 2772020 is 202772.

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

It is a junction number, because it is equal to n+sod(n) for n = 2771983 and 2772001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10409 + ... + 10671.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

22772020 is an apocalyptic number.

2772020 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 2772020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344).

2772020 is an abundant number, since it is smaller than the sum of its proper divisors (3614668).

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

2772020 is a wasteful number, since it uses less digits than its factorization.

2772020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 2772020 is about 1664.9384373003. The cubic root of 2772020 is about 140.4749177415.

2772020 divided by its sum of digits (20) gives a triangular number (138601 = T526).

Adding to 2772020 its reverse (202772), we get a palindrome (2974792).

The spelling of 2772020 in words is "two million, seven hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 263 310 340 526 527 620 1052 1054 1315 2108 2630 2635 4471 5260 5270 8153 8942 10540 16306 17884 22355 32612 40765 44710 81530 89420 138601 163060 277202 554404 693005 1386010 2772020