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2190080 = 2852959
BaseRepresentation
bin1000010110101100000000
311010021020002
420112230000
51030040310
6114535132
724421034
oct10265400
94107202
102190080
111266492
128974a8
135b8b09
144101c4
152d3da5
hex216b00

2190080 has 72 divisors (see below), whose sum is σ = 5518800. Its totient is φ = 831488.

The previous prime is 2190079. The next prime is 2190091. The reversal of 2190080 is 800912.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37091 + ... + 37149.

It is an arithmetic number, because the mean of its divisors is an integer number (76650).

22190080 is an apocalyptic number.

2190080 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 2190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759400).

2190080 is an abundant number, since it is smaller than the sum of its proper divisors (3328720).

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

2190080 is an equidigital number, since it uses as much as digits as its factorization.

2190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2190080 is about 1479.8918879432. The cubic root of 2190080 is about 129.8633672946.

Adding to 2190080 its reverse (800912), we get a palindrome (2990992).

The spelling of 2190080 in words is "two million, one hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 59 64 80 116 118 128 145 160 232 236 256 290 295 320 464 472 580 590 640 928 944 1160 1180 1280 1711 1856 1888 2320 2360 3422 3712 3776 4640 4720 6844 7424 7552 8555 9280 9440 13688 15104 17110 18560 18880 27376 34220 37120 37760 54752 68440 75520 109504 136880 219008 273760 438016 547520 1095040 2190080