Search a number
-
+
2320320 = 26352417
BaseRepresentation
bin1000110110011111000000
311100212212210
420312133000
51043222240
6121422120
725502532
oct10663700
94325783
102320320
111345322
1293a940
13633192
14445852
1530c780
hex2367c0

2320320 has 56 divisors (see below), whose sum is σ = 7370064. Its totient is φ = 618496.

The previous prime is 2320301. The next prime is 2320321. The reversal of 2320320 is 230232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2320296 and 2320305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320321) 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, 249 + ... + 2168.

22320320 is an apocalyptic number.

2320320 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 2320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685032).

2320320 is an abundant number, since it is smaller than the sum of its proper divisors (5049744).

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

2320320 is a wasteful number, since it uses less digits than its factorization.

2320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2320320 is about 1523.2596626971. The cubic root of 2320320 is about 132.3882052149.

Adding to 2320320 its reverse (230232), we get a palindrome (2550552).

The spelling of 2320320 in words is "two million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2417 4834 7251 9668 12085 14502 19336 24170 29004 36255 38672 48340 58008 72510 77344 96680 116016 145020 154688 193360 232032 290040 386720 464064 580080 773440 1160160 2320320