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1009906704 = 2434779249
BaseRepresentation
bin111100001100011…
…111010000010000
32121101022120120000
4330030133100100
54032014003304
6244113450000
734012031262
oct7414372020
92541276500
101009906704
1147907a944
12242270900
131312c8441
14981a9b32
155d9db939
hex3c31f410

1009906704 has 50 divisors (see below), whose sum is σ = 2922966750. Its totient is φ = 336635136.

The previous prime is 1009906693. The next prime is 1009906741. The reversal of 1009906704 is 4076099001.

It can be written as a sum of positive squares in only one way, i.e., 897122304 + 112784400 = 29952^2 + 10620^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 388329 + ... + 390920.

It is an arithmetic number, because the mean of its divisors is an integer number (58459335).

Almost surely, 21009906704 is an apocalyptic number.

It is an amenable number.

1009906704 is an abundant number, since it is smaller than the sum of its proper divisors (1913060046).

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

1009906704 is an equidigital number, since it uses as much as digits as its factorization.

1009906704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779269 (or 779254 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1009906704 is about 31779.0293117962. The cubic root of 1009906704 is about 1003.2913895361.

The spelling of 1009906704 in words is "one billion, nine million, nine hundred six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 779249 1558498 2337747 3116996 4675494 6233992 7013241 9350988 12467984 14026482 18701976 21039723 28052964 37403952 42079446 56105928 63119169 84158892 112211856 126238338 168317784 252476676 336635568 504953352 1009906704