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2540928 = 27313509
BaseRepresentation
bin1001101100010110000000
311210002111110
421230112000
51122302203
6130243320
730411645
oct11542600
94702443
102540928
111486045
12a26540
136ac710
144a1dcc
15352d03
hex26c580

2540928 has 64 divisors (see below), whose sum is σ = 7282800. Its totient is φ = 780288.

The previous prime is 2540903. The next prime is 2540933. The reversal of 2540928 is 8290452.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2540895 and 2540904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4738 + ... + 5246.

22540928 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 2540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641400).

2540928 is an abundant number, since it is smaller than the sum of its proper divisors (4741872).

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

2540928 is a wasteful number, since it uses less digits than its factorization.

2540928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2540928 is about 1594.0288579571. The cubic root of 2540928 is about 136.4575133775.

The spelling of 2540928 in words is "two million, five hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 509 624 832 1018 1248 1527 1664 2036 2496 3054 4072 4992 6108 6617 8144 12216 13234 16288 19851 24432 26468 32576 39702 48864 52936 65152 79404 97728 105872 158808 195456 211744 317616 423488 635232 846976 1270464 2540928