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2540512 = 251331197
BaseRepresentation
bin1001101100001111100000
311210001221001
421230033200
51122244022
6130241344
730410512
oct11541740
94701831
102540512
1114857a7
12a26254
136ac480
144a1bb2
15352b27
hex26c3e0

2540512 has 48 divisors (see below), whose sum is σ = 5588352. Its totient is φ = 1128960.

The previous prime is 2540479. The next prime is 2540513. The reversal of 2540512 is 2150452.

It is a self number, because there is not a number n which added to its sum of digits gives 2540512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540513) 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, 12798 + ... + 12994.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

22540512 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 2540512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794176).

2540512 is an abundant number, since it is smaller than the sum of its proper divisors (3047840).

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

2540512 is a wasteful number, since it uses less digits than its factorization.

2540512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2540512 is about 1593.8983656432. The cubic root of 2540512 is about 136.4500660428.

Adding to 2540512 its reverse (2150452), we get a palindrome (4690964).

The spelling of 2540512 in words is "two million, five hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 197 208 248 394 403 416 496 788 806 992 1576 1612 2561 3152 3224 5122 6107 6304 6448 10244 12214 12896 20488 24428 40976 48856 79391 81952 97712 158782 195424 317564 635128 1270256 2540512