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1006112740 = 22550305637
BaseRepresentation
bin111011111110000…
…000111111100100
32121010011211012211
4323332000333210
54030031101430
6243500253204
733634550203
oct7376007744
92533154184
101006112740
11476a19436
12240b41204
1313059a5a9
149789d23a
155d4dc72a
hex3bf80fe4

1006112740 has 12 divisors (see below), whose sum is σ = 2112836796. Its totient is φ = 402445088.

The previous prime is 1006112699. The next prime is 1006112741. The reversal of 1006112740 is 472116001.

It can be written as a sum of positive squares in 2 ways, for example, as 192265956 + 813846784 = 13866^2 + 28528^2 .

It is not an unprimeable number, because it can be changed into a prime (1006112741) 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, 25152799 + ... + 25152838.

It is an arithmetic number, because the mean of its divisors is an integer number (176069733).

Almost surely, 21006112740 is an apocalyptic number.

1006112740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006112740 is an abundant number, since it is smaller than the sum of its proper divisors (1106724056).

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

1006112740 is a wasteful number, since it uses less digits than its factorization.

1006112740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50305646 (or 50305644 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1006112740 is about 31719.2802566515. The cubic root of 1006112740 is about 1002.0334423097.

Adding to 1006112740 its reverse (472116001), we get a palindrome (1478228741).

It can be divided in two parts, 10061 and 12740, that added together give a square (22801 = 1512).

The spelling of 1006112740 in words is "one billion, six million, one hundred twelve thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 50305637 100611274 201222548 251528185 503056370 1006112740