Search a number
-
+
2109744 = 2432721323
BaseRepresentation
bin1000000011000100110000
310222012000200
420003010300
51020002434
6113115200
723634600
oct10030460
93865020
102109744
11121109a
12858b00
1358b390
143ccc00
152ba199
hex203130

2109744 has 180 divisors, whose sum is σ = 7718256. Its totient is φ = 532224.

The previous prime is 2109743. The next prime is 2109761. The reversal of 2109744 is 4479012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91717 + ... + 91739.

22109744 is an apocalyptic number.

2109744 is a gapful number since it is divisible by the number (24) 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 2109744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128).

2109744 is an abundant number, since it is smaller than the sum of its proper divisors (5608512).

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

2109744 is a wasteful number, since it uses less digits than its factorization.

2109744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2109744 is about 1452.4957831264. The cubic root of 2109744 is about 128.2556738595.

It can be divided in two parts, 2 and 109744, that added together give a triangular number (109746 = T468).

The spelling of 2109744 in words is "two million, one hundred nine thousand, seven hundred forty-four".