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75105093 = 372510919
BaseRepresentation
bin1000111101000…
…00001101000101
312020022201211010
410132200031011
5123211330333
611241432433
71601245200
oct436401505
9166281733
1075105093
1139438628
122119b719
13127383ab
149d90937
1568d8563
hex47a0345

75105093 has 12 divisors (see below), whose sum is σ = 116489760. Its totient is φ = 42917112.

The previous prime is 75105083. The next prime is 75105103. The reversal of 75105093 is 39050157.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75105083) and next prime (75105103).

It is not a de Polignac number, because 75105093 - 210 = 75104069 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75105093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75105083) 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 11 ways as a sum of consecutive naturals, for example, 255313 + ... + 255606.

It is an arithmetic number, because the mean of its divisors is an integer number (9707480).

Almost surely, 275105093 is an apocalyptic number.

It is an amenable number.

75105093 is a deficient number, since it is larger than the sum of its proper divisors (41384667).

75105093 is a wasteful number, since it uses less digits than its factorization.

75105093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510936 (or 510929 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 30.

The square root of 75105093 is about 8666.3194609938. The cubic root of 75105093 is about 421.9132159839.

The spelling of 75105093 in words is "seventy-five million, one hundred five thousand, ninety-three".

Divisors: 1 3 7 21 49 147 510919 1532757 3576433 10729299 25035031 75105093