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11630240 = 25572689
BaseRepresentation
bin101100010111…
…011010100000
3210212212200122
4230113122200
510434131430
61053135412
7200566256
oct54273240
923785618
1011630240
116623a76
123a8a568
1325428cb
14178a5d6
15104aee5
hexb176a0

11630240 has 24 divisors (see below), whose sum is σ = 27476820. Its totient is φ = 4652032.

The previous prime is 11630237. The next prime is 11630243. The reversal of 11630240 is 4203611.

It is an interprime number because it is at equal distance from previous prime (11630237) and next prime (11630243).

It can be written as a sum of positive squares in 2 ways, for example, as 10523536 + 1106704 = 3244^2 + 1052^2 .

It is not an unprimeable number, because it can be changed into a prime (11630243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36185 + ... + 36504.

Almost surely, 211630240 is an apocalyptic number.

11630240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11630240 is an abundant number, since it is smaller than the sum of its proper divisors (15846580).

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

11630240 is an equidigital number, since it uses as much as digits as its factorization.

11630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72704 (or 72696 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 11630240 is about 3410.3137685556. The cubic root of 11630240 is about 226.5667764393.

Adding to 11630240 its reverse (4203611), we get a palindrome (15833851).

The spelling of 11630240 in words is "eleven million, six hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 72689 145378 290756 363445 581512 726890 1163024 1453780 2326048 2907560 5815120 11630240