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2072320 = 2851619
BaseRepresentation
bin111111001111100000000
310220021200121
413321330000
51012303240
6112230024
723420515
oct7717400
93807617
102072320
111195a68
1283b314
13577333
143bd30c
152ae04a
hex1f9f00

2072320 has 36 divisors (see below), whose sum is σ = 4966920. Its totient is φ = 828416.

The previous prime is 2072293. The next prime is 2072321. The reversal of 2072320 is 232702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2072294 and 2072303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072321) 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 3 ways as a sum of consecutive naturals, for example, 471 + ... + 2089.

It is an arithmetic number, because the mean of its divisors is an integer number (137970).

22072320 is an apocalyptic number.

2072320 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 2072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483460).

2072320 is an abundant number, since it is smaller than the sum of its proper divisors (2894600).

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

2072320 is an equidigital number, since it uses as much as digits as its factorization.

2072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 2072320 is about 1439.5554869473. Note that the first 3 decimals coincide. The cubic root of 2072320 is about 127.4927844180.

The spelling of 2072320 in words is "two million, seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1619 3238 6476 8095 12952 16190 25904 32380 51808 64760 103616 129520 207232 259040 414464 518080 1036160 2072320