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7381125 = 31053
BaseRepresentation
bin11100001010000010000101
3111220000000000
4130022002011
53342144000
6422111513
7116511213
oct34120205
914800000
107381125
114191604
12257b599
1316b583b
14da1cb3
159ac000
hex70a085

7381125 has 44 divisors (see below), whose sum is σ = 13817388. Its totient is φ = 3936600.

The previous prime is 7381123. The next prime is 7381141. The reversal of 7381125 is 5211837.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 236196 + 7144929 = 486^2 + 2673^2 .

It is an ABA number since it can be written as A⋅BA, here for A=3, B=135.

It is not a de Polignac number, because 7381125 - 21 = 7381123 is a prime.

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

Its product of digits (1680) is a multiple of the sum of its prime divisors (8).

7381125 is a lucky number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7381123) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1476223 + ... + 1476227.

Almost surely, 27381125 is an apocalyptic number.

7381125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7381125 is a deficient number, since it is larger than the sum of its proper divisors (6436263).

7381125 is an frugal number, since it uses more digits than its factorization.

7381125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 8 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 7381125 is about 2716.8225926622. The cubic root of 7381125 is about 194.7036919915.

The spelling of 7381125 in words is "seven million, three hundred eighty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405 675 729 1125 1215 2025 2187 3375 3645 6075 6561 10125 10935 18225 19683 30375 32805 54675 59049 91125 98415 164025 273375 295245 492075 820125 1476225 2460375 7381125