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75199140 = 22325417773
BaseRepresentation
bin1000111101101…
…11001010100100
312020111111211100
410132313022210
5123222333030
611243440100
71602116322
oct436671244
9166444740
1075199140
11394a2255
1221226030
131276c143
149db6d12
156906360
hex47b72a4

75199140 has 36 divisors (see below), whose sum is σ = 228104604. Its totient is φ = 20053056.

The previous prime is 75199081. The next prime is 75199141. The reversal of 75199140 is 4199157.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 63584676 = 3408^2 + 7974^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75199095 and 75199104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75199141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208707 + ... + 209066.

It is an arithmetic number, because the mean of its divisors is an integer number (6336239).

Almost surely, 275199140 is an apocalyptic number.

It is an amenable number.

75199140 is an abundant number, since it is smaller than the sum of its proper divisors (152905464).

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

75199140 is a wasteful number, since it uses less digits than its factorization.

75199140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417788 (or 417783 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 75199140 is about 8671.7437692773. The cubic root of 75199140 is about 422.0892498576.

The spelling of 75199140 in words is "seventy-five million, one hundred ninety-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 417773 835546 1253319 1671092 2088865 2506638 3759957 4177730 5013276 6266595 7519914 8355460 12533190 15039828 18799785 25066380 37599570 75199140