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75034540 = 22571932777
BaseRepresentation
bin1000111100011…
…10111110101100
312020012011001001
410132032332230
5123202101130
611240130044
71600532410
oct436167654
9166164031
1075034540
113939a619
1221166924
1312712249
149d72d40
1568c26ca
hex478efac

75034540 has 48 divisors (see below), whose sum is σ = 181081152. Its totient is φ = 25583616.

The previous prime is 75034529. The next prime is 75034543. The reversal of 75034540 is 4543057.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 75034499 and 75034508.

It is not an unprimeable number, because it can be changed into a prime (75034543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25632 + ... + 28408.

It is an arithmetic number, because the mean of its divisors is an integer number (3772524).

Almost surely, 275034540 is an apocalyptic number.

75034540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75034540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90540576).

75034540 is an abundant number, since it is smaller than the sum of its proper divisors (106046612).

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

75034540 is a wasteful number, since it uses less digits than its factorization.

75034540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 75034540 is about 8662.2479761318. The cubic root of 75034540 is about 421.7810608582.

Adding to 75034540 its reverse (4543057), we get a palindrome (79577597).

The spelling of 75034540 in words is "seventy-five million, thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 772 965 1351 1930 2702 2777 3860 5404 5554 6755 11108 13510 13885 19439 27020 27770 38878 55540 77756 97195 194390 388780 535961 1071922 2143844 2679805 3751727 5359610 7503454 10719220 15006908 18758635 37517270 75034540