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190824933 = 31331157837
BaseRepresentation
bin10110101111111…
…00000111100101
3111022001220121010
423113330013211
5342322344213
630534012433
74504661625
oct1327740745
9438056533
10190824933
1198796662
1253aa7119
13306c4080
141b4b4885
1511b45ac3
hexb5fc1e5

190824933 has 16 divisors (see below), whose sum is σ = 282845696. Its totient is φ = 113641920.

The previous prime is 190824839. The next prime is 190824937. The reversal of 190824933 is 339428091.

It is a de Polignac number, because none of the positive numbers 2k-190824933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 190824891 and 190824900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190824937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77710 + ... + 80127.

It is an arithmetic number, because the mean of its divisors is an integer number (17677856).

Almost surely, 2190824933 is an apocalyptic number.

190824933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

190824933 is a deficient number, since it is larger than the sum of its proper divisors (92020763).

190824933 is a wasteful number, since it uses less digits than its factorization.

190824933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157884.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 190824933 is about 13813.9398073106. The cubic root of 190824933 is about 575.7205162979.

The spelling of 190824933 in words is "one hundred ninety million, eight hundred twenty-four thousand, nine hundred thirty-three".

Divisors: 1 3 13 31 39 93 403 1209 157837 473511 2051881 4892947 6155643 14678841 63608311 190824933