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75040840 = 2357268003
BaseRepresentation
bin1000111100100…
…00100001001000
312020012110200101
410132100201020
5123202301330
611240215144
71600556650
oct436204110
9166173611
1075040840
11393a4326
122116a4b4
1312715084
149d75360
1568c44ca
hex4790848

75040840 has 32 divisors (see below), whose sum is σ = 192962880. Its totient is φ = 25728192.

The previous prime is 75040831. The next prime is 75040841. The reversal of 75040840 is 4804057.

It is a super-2 number, since 2×750408402 = 11262255335811200, which contains 22 as substring.

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 = 75040799 and 75040808.

It is not an unprimeable number, because it can be changed into a prime (75040841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133722 + ... + 134281.

It is an arithmetic number, because the mean of its divisors is an integer number (6030090).

Almost surely, 275040840 is an apocalyptic number.

75040840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75040840 is an abundant number, since it is smaller than the sum of its proper divisors (117922040).

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

75040840 is a wasteful number, since it uses less digits than its factorization.

75040840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268021 (or 268017 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 75040840 is about 8662.6116154425. The cubic root of 75040840 is about 421.7928649612.

Adding to 75040840 its reverse (4804057), we get a palindrome (79844897).

The spelling of 75040840 in words is "seventy-five million, forty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 268003 536006 1072012 1340015 1876021 2144024 2680030 3752042 5360060 7504084 9380105 10720120 15008168 18760210 37520420 75040840