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2661920 = 255127131
BaseRepresentation
bin1010001001111000100000
312000020110122
422021320200
51140140140
6133015412
731424462
oct12117040
95006418
102661920
111558a38
12a84568
13722801
144d4132
15378ab5
hex289e20

2661920 has 48 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 1048320.

The previous prime is 2661917. The next prime is 2661929. The reversal of 2661920 is 291662.

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 2661920.

It is not an unprimeable number, because it can be changed into a prime (2661929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20255 + ... + 20385.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

22661920 is an apocalyptic number.

2661920 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 2661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344).

2661920 is an abundant number, since it is smaller than the sum of its proper divisors (3724768).

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

2661920 is a wasteful number, since it uses less digits than its factorization.

2661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2661920 is about 1631.5391506182. The cubic root of 2661920 is about 138.5899271318.

The spelling of 2661920 in words is "two million, six hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 131 160 254 262 508 524 635 655 1016 1048 1270 1310 2032 2096 2540 2620 4064 4192 5080 5240 10160 10480 16637 20320 20960 33274 66548 83185 133096 166370 266192 332740 532384 665480 1330960 2661920