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11939688 = 2332165829
BaseRepresentation
bin101101100010…
…111101101000
3211110121011200
4231202331220
511024032223
61103524200
7203325405
oct55427550
924417150
1011939688
116815512
123bb9660
132620707
14182b2ac
1510aca43
hexb62f68

11939688 has 24 divisors (see below), whose sum is σ = 32336850. Its totient is φ = 3979872.

The previous prime is 11939659. The next prime is 11939689. The reversal of 11939688 is 88693911.

It can be written as a sum of positive squares in only one way, i.e., 7851204 + 4088484 = 2802^2 + 2022^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×119396882 = 285112299074688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11939689) 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 5 ways as a sum of consecutive naturals, for example, 82843 + ... + 82986.

Almost surely, 211939688 is an apocalyptic number.

11939688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11939688 is an abundant number, since it is smaller than the sum of its proper divisors (20397162).

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

11939688 is a wasteful number, since it uses less digits than its factorization.

11939688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165841 (or 165834 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 11939688 is about 3455.3853620110. The cubic root of 11939688 is about 228.5586485414.

The spelling of 11939688 in words is "eleven million, nine hundred thirty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 165829 331658 497487 663316 994974 1326632 1492461 1989948 2984922 3979896 5969844 11939688