Search a number
-
+
1007013747 = 32118231933
BaseRepresentation
bin111100000001011…
…100111101110011
32121011212121011110
4330001130331303
54030243414442
6243531444403
733645322065
oct7401347563
92534777143
101007013747
11477484373
122412b6703
1313082472c
1497a55735
155d61969c
hex3c05cf73

1007013747 has 16 divisors (see below), whose sum is σ = 1351386368. Its totient is φ = 667003680.

The previous prime is 1007013743. The next prime is 1007013767. The reversal of 1007013747 is 7473107001.

It is not a de Polignac number, because 1007013747 - 22 = 1007013743 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007013743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519993 + ... + 521925.

It is an arithmetic number, because the mean of its divisors is an integer number (84461648).

Almost surely, 21007013747 is an apocalyptic number.

1007013747 is a deficient number, since it is larger than the sum of its proper divisors (344372621).

1007013747 is a wasteful number, since it uses less digits than its factorization.

1007013747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970.

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 1007013747 is about 31733.4799068744. The cubic root of 1007013747 is about 1002.3324710158.

The spelling of 1007013747 in words is "one billion, seven million, thirteen thousand, seven hundred forty-seven".

Divisors: 1 3 211 633 823 1933 2469 5799 173653 407863 520959 1223589 1590859 4772577 335671249 1007013747