Search a number
-
+
2127640 = 235431237
BaseRepresentation
bin1000000111011100011000
311000002120111
420013130120
51021041030
6113334104
724041014
oct10073430
94002514
102127640
111223589
12867334
13596578
143d5544
152c062a
hex207718

2127640 has 32 divisors (see below), whose sum is σ = 4902480. Its totient is φ = 830592.

The previous prime is 2127617. The next prime is 2127641. The reversal of 2127640 is 467212.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127641) 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, 1102 + ... + 2338.

22127640 is an apocalyptic number.

2127640 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 2127640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451240).

2127640 is an abundant number, since it is smaller than the sum of its proper divisors (2774840).

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

2127640 is a wasteful number, since it uses less digits than its factorization.

2127640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2127640 is about 1458.6432051739. The cubic root of 2127640 is about 128.6172981543.

It can be divided in two parts, 21276 and 40, that added together give a square (21316 = 1462).

The spelling of 2127640 in words is "two million, one hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1237 1720 2474 4948 6185 9896 12370 24740 49480 53191 106382 212764 265955 425528 531910 1063820 2127640