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2920320 = 27335132
BaseRepresentation
bin1011001000111110000000
312111100221000
423020332000
51221422240
6142332000
733552024
oct13107600
95440830
102920320
111715097
12b8a000
137b3300
14560384
153ca430
hex2c8f80

2920320 has 192 divisors, whose sum is σ = 11199600. Its totient is φ = 718848.

The previous prime is 2920303. The next prime is 2920321. The reversal of 2920320 is 230292.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 2920293 and 2920302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224634 + ... + 224646.

22920320 is an apocalyptic number.

2920320 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 2920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599800).

2920320 is an abundant number, since it is smaller than the sum of its proper divisors (8279280).

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

2920320 is a wasteful number, since it uses less digits than its factorization.

2920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2920320 is about 1708.8943794161. The cubic root of 2920320 is about 142.9366110236.

It can be divided in two parts, 2920 and 320, that added together give a triangular number (3240 = T80).

The spelling of 2920320 in words is "two million, nine hundred twenty thousand, three hundred twenty".