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2606027040 = 253354314029
BaseRepresentation
bin1001101101010100…
…1101000100100000
320201121200220001000
42123111031010200
520314120331130
61110332112000
7121402602321
oct23325150440
96647626030
102606027040
111118041761
12608905600
13326ba3346
141aa170448
15103bc1260
hex9b54d120

2606027040 has 192 divisors, whose sum is σ = 9333878400. Its totient is φ = 678730752.

The previous prime is 2606027033. The next prime is 2606027041. The reversal of 2606027040 is 407206062.

It is a super-2 number, since 2×26060270402 = 13582753866422323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2606026995 and 2606027013.

It is not an unprimeable number, because it can be changed into a prime (2606027041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178746 + ... + 192774.

It is an arithmetic number, because the mean of its divisors is an integer number (48613950).

Almost surely, 22606027040 is an apocalyptic number.

2606027040 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 2606027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666939200).

2606027040 is an abundant number, since it is smaller than the sum of its proper divisors (6727851360).

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

2606027040 is a wasteful number, since it uses less digits than its factorization.

2606027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14096 (or 14082 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2606027040 is about 51049.2609153159. The cubic root of 2606027040 is about 1376.1305593171.

The spelling of 2606027040 in words is "two billion, six hundred six million, twenty-seven thousand, forty".