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1000041040 = 24512500513
BaseRepresentation
bin111011100110110…
…110101001010000
32120200202100102001
4323212312221100
54022002303130
6243122203344
733532131355
oct7346665120
92520670361
101000041040
114735516a9
1223aab3554
1312c252a7b
1496b5c62c
155cbdd6ca
hex3b9b6a50

1000041040 has 20 divisors (see below), whose sum is σ = 2325095604. Its totient is φ = 400016384.

The previous prime is 1000041037. The next prime is 1000041061. The reversal of 1000041040 is 401400001.

It can be written as a sum of positive squares in 2 ways, for example, as 112954384 + 887086656 = 10628^2 + 29784^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6250177 + ... + 6250336.

Almost surely, 21000041040 is an apocalyptic number.

1000041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000041040 is an abundant number, since it is smaller than the sum of its proper divisors (1325054564).

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

1000041040 is a wasteful number, since it uses less digits than its factorization.

1000041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12500526 (or 12500520 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1000041040 is about 31623.4254944021. The cubic root of 1000041040 is about 1000.0136798129.

Adding to 1000041040 its reverse (401400001), we get a palindrome (1401441041).

It can be divided in two parts, 10000 and 41040, that added together give a triangular number (51040 = T319).

The spelling of 1000041040 in words is "one billion, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12500513 25001026 50002052 62502565 100004104 125005130 200008208 250010260 500020520 1000041040