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5360760500 = 2253102110501
BaseRepresentation
bin1001111111000011…
…01011011010110100
3111211121012211221012
410333201223122310
541434323314000
62243535411352
7246562466234
oct47741533264
914747184835
105360760500
112301011787
121057383b58
13675811844
1438bd6dcc4
15215968735
hex13f86b6b4

5360760500 has 48 divisors (see below), whose sum is σ = 11720484048. Its totient is φ = 2142000000.

The previous prime is 5360760497. The next prime is 5360760527. The reversal of 5360760500 is 50670635.

It can be written as a sum of positive squares in 8 ways, for example, as 2068066576 + 3292693924 = 45476^2 + 57382^2 .

It is a congruent number.

It is an unprimeable number.

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, 505250 + ... + 515750.

It is an arithmetic number, because the mean of its divisors is an integer number (244176751).

Almost surely, 25360760500 is an apocalyptic number.

5360760500 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 5360760500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860242024).

5360760500 is an abundant number, since it is smaller than the sum of its proper divisors (6359723548).

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

5360760500 is a wasteful number, since it uses less digits than its factorization.

5360760500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 5360760500 is about 73217.2145058797. The cubic root of 5360760500 is about 1750.1507897278.

The spelling of 5360760500 in words is "five billion, three hundred sixty million, seven hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 1021 2042 4084 5105 10210 10501 20420 21002 25525 42004 51050 52505 102100 105010 127625 210020 255250 262525 510500 525050 1050100 1312625 2625250 5250500 10721521 21443042 42886084 53607605 107215210 214430420 268038025 536076050 1072152100 1340190125 2680380250 5360760500