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2327680 = 2753637
BaseRepresentation
bin1000111000010010000000
311101020222101
420320102000
51043441210
6121520144
725533145
oct10702200
94336871
102327680
11134a903
12943054
13636634
144483cc
1530ea3a
hex238480

2327680 has 32 divisors (see below), whose sum is σ = 5566140. Its totient is φ = 930816.

The previous prime is 2327653. The next prime is 2327681. The reversal of 2327680 is 867232.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 322624 = 1416^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2327681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1179 + ... + 2458.

22327680 is an apocalyptic number.

2327680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2327680 is an abundant number, since it is smaller than the sum of its proper divisors (3238460).

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

2327680 is an equidigital number, since it uses as much as digits as its factorization.

2327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2327680 is about 1525.6736217160. The cubic root of 2327680 is about 132.5280348890.

The spelling of 2327680 in words is "two million, three hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3637 7274 14548 18185 29096 36370 58192 72740 116384 145480 232768 290960 465536 581920 1163840 2327680