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2621440 = 2195
BaseRepresentation
bin1010000000000000000000
311221011221101
422000000000
51132341230
6132104144
731165453
oct12000000
94834841
102621440
111530588
12a65054
1370a263
144c349a
1536baca
hex280000

2621440 has 40 divisors (see below), whose sum is σ = 6291450. Its totient is φ = 1048576.

The previous prime is 2621431. The next prime is 2621447. The reversal of 2621440 is 441262.

It can be written as a sum of positive squares in only one way, i.e., 2359296 + 262144 = 1536^2 + 512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (2621447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 2621440 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 524286 + ... + 524290.

22621440 is an apocalyptic number.

2621440 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 2621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145725).

2621440 is an abundant number, since it is smaller than the sum of its proper divisors (3670010).

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

2621440 is an frugal number, since it uses more digits than its factorization.

2621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2621440 is about 1619.0861620062. The cubic root of 2621440 is about 137.8838201620.

The spelling of 2621440 in words is "two million, six hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 32768 40960 65536 81920 131072 163840 262144 327680 524288 655360 1310720 2621440