Search a number
-
+
2672720 = 24533409
BaseRepresentation
bin1010001100100001010000
312000210021122
422030201100
51141011340
6133141412
731501121
oct12144120
95023248
102672720
111566066
12a8a868
137276bb
144d8048
1537bdb5
hex28c850

2672720 has 20 divisors (see below), whose sum is σ = 6214260. Its totient is φ = 1069056.

The previous prime is 2672701. The next prime is 2672731. The reversal of 2672720 is 272762.

It can be written as a sum of positive squares in 2 ways, for example, as 678976 + 1993744 = 824^2 + 1412^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2672720.

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 3 ways as a sum of consecutive naturals, for example, 16625 + ... + 16784.

It is an arithmetic number, because the mean of its divisors is an integer number (310713).

22672720 is an apocalyptic number.

2672720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2672720 is an abundant number, since it is smaller than the sum of its proper divisors (3541540).

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

2672720 is a wasteful number, since it uses less digits than its factorization.

2672720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33422 (or 33416 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 2672720 is about 1634.8455584550. The cubic root of 2672720 is about 138.7771042469. Note that the first 3 decimals are identical.

The spelling of 2672720 in words is "two million, six hundred seventy-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 33409 66818 133636 167045 267272 334090 534544 668180 1336360 2672720