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75041640 = 23345192353
BaseRepresentation
bin1000111100100…
…00101101101000
312020012111210000
410132100231220
5123202313030
611240223000
71600562202
oct436205550
9166174700
1075041640
11393a4993
122116aa60
131271554b
149d75772
1568c4860
hex4790b68

75041640 has 320 divisors, whose sum is σ = 282268800. Its totient is φ = 17791488.

The previous prime is 75041639. The next prime is 75041641. The reversal of 75041640 is 4614057.

It is an interprime number because it is at equal distance from previous prime (75041639) and next prime (75041641).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75041641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1415854 + ... + 1415906.

It is an arithmetic number, because the mean of its divisors is an integer number (882090).

Almost surely, 275041640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75041640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141134400).

75041640 is an abundant number, since it is smaller than the sum of its proper divisors (207227160).

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

75041640 is a wasteful number, since it uses less digits than its factorization.

75041640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75041640 is about 8662.6577907707. The cubic root of 75041640 is about 421.7943638476.

Adding to 75041640 its reverse (4614057), we get a palindrome (79655697).

The spelling of 75041640 in words is "seventy-five million, forty-one thousand, six hundred forty".