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2077812 = 223411253
BaseRepresentation
bin111111011010001110100
310220120020000
413323101310
51012442222
6112311300
723442522
oct7732164
93816200
102077812
11119a100
12842530
13579999
143c1312
152b09ac
hex1fb474

2077812 has 90 divisors (see below), whose sum is σ = 6083154. Its totient is φ = 617760.

The previous prime is 2077811. The next prime is 2077813. The reversal of 2077812 is 2187702.

It is an interprime number because it is at equal distance from previous prime (2077811) and next prime (2077813).

It can be written as a sum of positive squares in only one way, i.e., 1920996 + 156816 = 1386^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077811) 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 29 ways as a sum of consecutive naturals, for example, 39178 + ... + 39230.

22077812 is an apocalyptic number.

2077812 is a gapful number since it is divisible by the number (22) 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 2077812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041577).

2077812 is an abundant number, since it is smaller than the sum of its proper divisors (4005342).

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

2077812 is a wasteful number, since it uses less digits than its factorization.

2077812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2077812 is about 1441.4617580775. The cubic root of 2077812 is about 127.6053109165.

The spelling of 2077812 in words is "two million, seventy-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 81 99 106 108 121 132 159 162 198 212 242 297 318 324 363 396 477 484 583 594 636 726 891 954 1089 1166 1188 1431 1452 1749 1782 1908 2178 2332 2862 3267 3498 3564 4293 4356 5247 5724 6413 6534 6996 8586 9801 10494 12826 13068 15741 17172 19239 19602 20988 25652 31482 38478 39204 47223 57717 62964 76956 94446 115434 173151 188892 230868 346302 519453 692604 1038906 2077812