Search a number
-
+
2307072 = 2103751
BaseRepresentation
bin1000110011010000000000
311100012201010
420303100000
51042311242
6121240520
725416105
oct10632000
94305633
102307072
111336379
12933140
1362a141
14440aac
1530889c
hex233400

2307072 has 44 divisors (see below), whose sum is σ = 6157376. Its totient is φ = 768000.

The previous prime is 2307059. The next prime is 2307073. The reversal of 2307072 is 2707032.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2307073) 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, 2697 + ... + 3447.

22307072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078688).

2307072 is an abundant number, since it is smaller than the sum of its proper divisors (3850304).

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

2307072 is an equidigital number, since it uses as much as digits as its factorization.

2307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 2307072 is about 1518.9048686471. The cubic root of 2307072 is about 132.1357648147.

The spelling of 2307072 in words is "two million, three hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 751 768 1024 1502 1536 2253 3004 3072 4506 6008 9012 12016 18024 24032 36048 48064 72096 96128 144192 192256 288384 384512 576768 769024 1153536 2307072