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2540608 = 26753107
BaseRepresentation
bin1001101100010001000000
311210002001121
421230101000
51122244413
6130242024
730411010
oct11542100
94702047
102540608
111485884
12a26314
136ac525
144a1c40
15352b8d
hex26c440

2540608 has 56 divisors (see below), whose sum is σ = 5925312. Its totient is φ = 1058304.

The previous prime is 2540597. The next prime is 2540609. The reversal of 2540608 is 8060452.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2540609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23691 + ... + 23797.

22540608 is an apocalyptic number.

2540608 is a gapful number since it is divisible by the number (28) 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 2540608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962656).

2540608 is an abundant number, since it is smaller than the sum of its proper divisors (3384704).

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

2540608 is a wasteful number, since it uses less digits than its factorization.

2540608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2540608 is about 1593.9284802023. The cubic root of 2540608 is about 136.4517847306.

The spelling of 2540608 in words is "two million, five hundred forty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 107 112 212 214 224 371 424 428 448 742 749 848 856 1484 1498 1696 1712 2968 2996 3392 3424 5671 5936 5992 6848 11342 11872 11984 22684 23744 23968 39697 45368 47936 79394 90736 158788 181472 317576 362944 635152 1270304 2540608