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2438080 = 26519401
BaseRepresentation
bin1001010011001111000000
311120212102021
421103033000
51111004310
6124131224
726503051
oct11231700
94525367
102438080
111415847
12996b14
13674968
14476728
153325da
hex2533c0

2438080 has 56 divisors (see below), whose sum is σ = 6126480. Its totient is φ = 921600.

The previous prime is 2438077. The next prime is 2438081. The reversal of 2438080 is 808342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2438081) 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, 5880 + ... + 6280.

22438080 is an apocalyptic number.

2438080 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 2438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063240).

2438080 is an abundant number, since it is smaller than the sum of its proper divisors (3688400).

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

2438080 is a wasteful number, since it uses less digits than its factorization.

2438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2438080 is about 1561.4352372097. The cubic root of 2438080 is about 134.5909888601.

The spelling of 2438080 in words is "two million, four hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 401 608 760 802 1216 1520 1604 2005 3040 3208 4010 6080 6416 7619 8020 12832 15238 16040 25664 30476 32080 38095 60952 64160 76190 121904 128320 152380 243808 304760 487616 609520 1219040 2438080