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75040 = 255767
BaseRepresentation
bin10010010100100000
310210221021
4102110200
54400130
61335224
7431530
oct222440
9123837
1075040
1151419
1237514
1328204
141d4c0
151737a
hex12520

75040 has 48 divisors (see below), whose sum is σ = 205632. Its totient is φ = 25344.

The previous prime is 75037. The next prime is 75041. The reversal of 75040 is 4057.

Adding to 75040 its reverse (4057), we get a palindrome (79097).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (75041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1087 + ... + 1153.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

275040 is an apocalyptic number.

75040 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 75040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816).

75040 is an abundant number, since it is smaller than the sum of its proper divisors (130592).

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

75040 is a wasteful number, since it uses less digits than its factorization.

75040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 75040 is about 273.9342986922. The cubic root of 75040 is about 42.1791291119.

The spelling of 75040 in words is "seventy-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 224 268 280 335 469 536 560 670 938 1072 1120 1340 1876 2144 2345 2680 3752 4690 5360 7504 9380 10720 15008 18760 37520 75040