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11965640 = 235389769
BaseRepresentation
bin101101101001…
…010011001000
3211111220202212
4231221103020
511030400030
61104244252
7203464151
oct55512310
924456685
1011965640
116832a65
124010688
13262c47b
141836928
1510b5595
hexb694c8

11965640 has 32 divisors (see below), whose sum is σ = 27027000. Its totient is φ = 4767744.

The previous prime is 11965627. The next prime is 11965643. The reversal of 11965640 is 4656911.

It can be written as a sum of positive squares in 4 ways, for example, as 7496644 + 4468996 = 2738^2 + 2114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11965597 and 11965606.

It is not an unprimeable number, because it can be changed into a prime (11965643) 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 7 ways as a sum of consecutive naturals, for example, 15176 + ... + 15944.

Almost surely, 211965640 is an apocalyptic number.

11965640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11965640 is an abundant number, since it is smaller than the sum of its proper divisors (15061360).

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

11965640 is a wasteful number, since it uses less digits than its factorization.

11965640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 11965640 is about 3459.1386211021. The cubic root of 11965640 is about 228.7241263897.

The spelling of 11965640 in words is "eleven million, nine hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 389 769 778 1538 1556 1945 3076 3112 3845 3890 6152 7690 7780 15380 15560 30760 299141 598282 1196564 1495705 2393128 2991410 5982820 11965640