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1005412004 = 224161100501
BaseRepresentation
bin111011111011010…
…101111010100100
32121001212012222122
4323323111322210
54024341141004
6243433245112
733625601222
oct7373257244
92531765878
101005412004
1147658aa13
12240863798
131303b365c
1497759b12
155d3eecbe
hex3bed5ea4

1005412004 has 24 divisors (see below), whose sum is σ = 1831950456. Its totient is φ = 482400000.

The previous prime is 1005412003. The next prime is 1005412007. The reversal of 1005412004 is 4002145001.

It can be written as a sum of positive squares in 4 ways, for example, as 138109504 + 867302500 = 11752^2 + 29450^2 .

It is not an unprimeable number, because it can be changed into a prime (1005412003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40247 + ... + 60254.

It is an arithmetic number, because the mean of its divisors is an integer number (76331269).

Almost surely, 21005412004 is an apocalyptic number.

It is an amenable number.

1005412004 is a deficient number, since it is larger than the sum of its proper divisors (826538452).

1005412004 is a wasteful number, since it uses less digits than its factorization.

1005412004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100607 (or 100605 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1005412004 is about 31708.2324326034. The cubic root of 1005412004 is about 1001.8007566623.

Adding to 1005412004 its reverse (4002145001), we get a palindrome (5007557005).

The spelling of 1005412004 in words is "one billion, five million, four hundred twelve thousand, four".

Divisors: 1 2 4 41 61 82 122 164 244 2501 5002 10004 100501 201002 402004 4120541 6130561 8241082 12261122 16482164 24522244 251353001 502706002 1005412004