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1004070016 = 2729270493
BaseRepresentation
bin111011110110001…
…110010010000000
32120222100001010101
4323312032102000
54024020220031
6243344412144
733611311555
oct7366162200
92528301111
101004070016
11475853734
12240317054
13130033891
14974caa2c
155d237361
hex3bd8e480

1004070016 has 32 divisors (see below), whose sum is σ = 2069279100. Its totient is φ = 484721664.

The previous prime is 1004069993. The next prime is 1004070017. The reversal of 1004070016 is 6100704001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 975937600 + 28132416 = 31240^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1004069975 and 1004070002.

It is not an unprimeable number, because it can be changed into a prime (1004070017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131535 + ... + 138958.

Almost surely, 21004070016 is an apocalyptic number.

1004070016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004070016 is an abundant number, since it is smaller than the sum of its proper divisors (1065209084).

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

1004070016 is an equidigital number, since it uses as much as digits as its factorization.

1004070016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270536 (or 270524 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1004070016 is about 31687.0638589315. The cubic root of 1004070016 is about 1001.3548355916.

Adding to 1004070016 its reverse (6100704001), we get a palindrome (7104774017).

The spelling of 1004070016 in words is "one billion, four million, seventy thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 270493 540986 1081972 2163944 4327888 7844297 8655776 15688594 17311552 31377188 34623104 62754376 125508752 251017504 502035008 1004070016