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5040305040 = 243571929209
BaseRepresentation
bin1001011000110110…
…01111001110010000
3111000021020000200110
410230123033032100
540310304230130
62152051121320
7235621612611
oct45433171620
914007200613
105040305040
112157136861
12b87ba3240
13624301224
1435b593c08
151e7768ab0
hex12c6cf390

5040305040 has 80 divisors (see below), whose sum is σ = 15647212800. Its totient is φ = 1342166016.

The previous prime is 5040305021. The next prime is 5040305063. The reversal of 5040305040 is 405030405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5040304998 and 5040305016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157956 + ... + 187164.

It is an arithmetic number, because the mean of its divisors is an integer number (195590160).

Almost surely, 25040305040 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 5040305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823606400).

5040305040 is an abundant number, since it is smaller than the sum of its proper divisors (10606907760).

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

5040305040 is a wasteful number, since it uses less digits than its factorization.

5040305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29944 (or 29938 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 5040305040 is about 70995.1057468048. The cubic root of 5040305040 is about 1714.5583656017.

Adding to 5040305040 its reverse (405030405), we get a palindrome (5445335445).

The spelling of 5040305040 in words is "five billion, forty million, three hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 719 1438 2157 2876 3595 4314 5752 7190 8628 10785 11504 14380 17256 21570 28760 29209 34512 43140 57520 58418 86280 87627 116836 146045 172560 175254 233672 292090 350508 438135 467344 584180 701016 876270 1168360 1402032 1752540 2336720 3505080 7010160 21001271 42002542 63003813 84005084 105006355 126007626 168010168 210012710 252015252 315019065 336020336 420025420 504030504 630038130 840050840 1008061008 1260076260 1680101680 2520152520 5040305040