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2321280 = 273251331
BaseRepresentation
bin1000110110101110000000
311100221012100
420312232000
51043240110
6121430400
725505403
oct10665600
94327170
102321280
111346015
1293b400
13633750
14445d3a
1530cbc0
hex236b80

2321280 has 192 divisors, whose sum is σ = 8910720. Its totient is φ = 552960.

The previous prime is 2321273. The next prime is 2321281. The reversal of 2321280 is 821232.

It is a happy number.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321281) 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, 74865 + ... + 74895.

It is an arithmetic number, because the mean of its divisors is an integer number (46410).

22321280 is an apocalyptic number.

2321280 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 2321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455360).

2321280 is an abundant number, since it is smaller than the sum of its proper divisors (6589440).

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

2321280 is a wasteful number, since it uses less digits than its factorization.

2321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2321280 is about 1523.5747438180. The cubic root of 2321280 is about 132.4064606213.

2321280 divided by its product of nonzero digits (192) gives a triangular number (12090 = T155).

It can be divided in two parts, 2321 and 280, that added together give a square (2601 = 512).

The spelling of 2321280 in words is "two million, three hundred twenty-one thousand, two hundred eighty".