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2071080 = 2332511523
BaseRepresentation
bin111111001101000101000
310220012222200
413321220220
51012233310
6112220200
723414064
oct7715050
93805880
102071080
111195040
1283a660
135768bb
143bcaa4
152ad9c0
hex1f9a28

2071080 has 96 divisors (see below), whose sum is σ = 7356960. Its totient is φ = 501120.

The previous prime is 2071073. The next prime is 2071087. The reversal of 2071080 is 801702.

It is an interprime number because it is at equal distance from previous prime (2071073) and next prime (2071087).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2071087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3699 + ... + 4221.

It is an arithmetic number, because the mean of its divisors is an integer number (76635).

22071080 is an apocalyptic number.

2071080 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 2071080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678480).

2071080 is an abundant number, since it is smaller than the sum of its proper divisors (5285880).

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

2071080 is a wasteful number, since it uses less digits than its factorization.

2071080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2071080 is about 1439.1247339963. The cubic root of 2071080 is about 127.4673503481.

Adding to 2071080 its reverse (801702), we get a palindrome (2872782).

The spelling of 2071080 in words is "two million, seventy-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 523 660 792 990 1046 1320 1569 1980 2092 2615 3138 3960 4184 4707 5230 5753 6276 7845 9414 10460 11506 12552 15690 17259 18828 20920 23012 23535 28765 31380 34518 37656 46024 47070 51777 57530 62760 69036 86295 94140 103554 115060 138072 172590 188280 207108 230120 258885 345180 414216 517770 690360 1035540 2071080