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5345071000 = 23536178663
BaseRepresentation
bin1001111101001011…
…10100111110011000
3111210111200201222121
410332211310332120
541421314233000
62242215231024
7246312232243
oct47645647630
914714621877
105345071000
1122a3175a55
121052078474
136724aa409
14389c4825a
152143b9b1a
hex13e974f98

5345071000 has 64 divisors (see below), whose sum is σ = 12529183680. Its totient is φ = 2134316800.

The previous prime is 5345070961. The next prime is 5345071001. The reversal of 5345071000 is 1705435.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345071001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612669 + ... + 621331.

It is an arithmetic number, because the mean of its divisors is an integer number (195768495).

Almost surely, 25345071000 is an apocalyptic number.

5345071000 is a gapful number since it is divisible by the number (50) 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 5345071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264591840).

5345071000 is an abundant number, since it is smaller than the sum of its proper divisors (7184112680).

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

5345071000 is a wasteful number, since it uses less digits than its factorization.

5345071000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 5345071000 is about 73109.9924770889. The cubic root of 5345071000 is about 1748.4417148798.

Adding to 5345071000 its reverse (1705435), we get a palindrome (5346776435).

The spelling of 5345071000 in words is "five billion, three hundred forty-five million, seventy-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 617 1000 1234 2468 3085 4936 6170 8663 12340 15425 17326 24680 30850 34652 43315 61700 69304 77125 86630 123400 154250 173260 216575 308500 346520 433150 617000 866300 1082875 1732600 2165750 4331500 5345071 8663000 10690142 21380284 26725355 42760568 53450710 106901420 133626775 213802840 267253550 534507100 668133875 1069014200 1336267750 2672535500 5345071000