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1004542120 = 23535817013
BaseRepresentation
bin111011111000000…
…001100010101000
32121000020000201201
4323320001202220
54024130321440
6243402453544
733615316141
oct7370014250
92530200651
101004542120
114760463aa
122405042b4
1313016a72a
14975b0ac8
155d2cc19a
hex3be018a8

1004542120 has 32 divisors (see below), whose sum is σ = 2261173320. Its totient is φ = 401647360.

The previous prime is 1004542109. The next prime is 1004542127. The reversal of 1004542120 is 212454001.

It can be written as a sum of positive squares in 4 ways, for example, as 1001975716 + 2566404 = 31654^2 + 1602^2 .

It is not an unprimeable number, because it can be changed into a prime (1004542127) 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 7 ways as a sum of consecutive naturals, for example, 139734 + ... + 146746.

Almost surely, 21004542120 is an apocalyptic number.

1004542120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004542120 is an abundant number, since it is smaller than the sum of its proper divisors (1256631200).

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

1004542120 is a wasteful number, since it uses less digits than its factorization.

1004542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605 (or 10601 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1004542120 is about 31694.5124587838. The cubic root of 1004542120 is about 1001.5117534499.

Adding to 1004542120 its reverse (212454001), we get a palindrome (1216996121).

The spelling of 1004542120 in words is "one billion, four million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3581 7013 7162 14026 14324 17905 28052 28648 35065 35810 56104 70130 71620 140260 143240 280520 25113553 50227106 100454212 125567765 200908424 251135530 502271060 1004542120