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1004014120 = 23525100353
BaseRepresentation
bin111011110110000…
…000101000101000
32120222020012110011
4323312000220220
54024011422440
6243343301304
733610656604
oct7366005050
92528205404
101004014120
1147581573a
122402aa834
131300142c5
14974b4504
155d2259ea
hex3bd80a28

1004014120 has 16 divisors (see below), whose sum is σ = 2259031860. Its totient is φ = 401605632.

The previous prime is 1004014091. The next prime is 1004014127. The reversal of 1004014120 is 214104001.

It can be written as a sum of positive squares in 2 ways, for example, as 809857764 + 194156356 = 28458^2 + 13934^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1004014120.

It is not an unprimeable number, because it can be changed into a prime (1004014127) 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 3 ways as a sum of consecutive naturals, for example, 12550137 + ... + 12550216.

Almost surely, 21004014120 is an apocalyptic number.

1004014120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004014120 is an abundant number, since it is smaller than the sum of its proper divisors (1255017740).

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

1004014120 is a wasteful number, since it uses less digits than its factorization.

1004014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25100364 (or 25100360 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1004014120 is about 31686.1818463506. The cubic root of 1004014120 is about 1001.3362536309.

Adding to 1004014120 its reverse (214104001), we get a palindrome (1218118121).

The spelling of 1004014120 in words is "one billion, four million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 25100353 50200706 100401412 125501765 200802824 251003530 502007060 1004014120