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5140012320 = 253253569453
BaseRepresentation
bin1001100100101111…
…00101110100100000
3111021012211200100200
410302113211310200
541011320343240
62210012145200
7241242245442
oct46227456440
914235750320
105140012320
1121a8448373
12bb5468200
1363bb71711
1436a90a492
152013b1930
hex1325e5d20

5140012320 has 72 divisors (see below), whose sum is σ = 17540296956. Its totient is φ = 1370669568.

The previous prime is 5140012307. The next prime is 5140012349. The reversal of 5140012320 is 232100415.

It can be written as a sum of positive squares in 2 ways, for example, as 4657243536 + 482768784 = 68244^2 + 21972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5140012293 and 5140012302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1783287 + ... + 1786166.

Almost surely, 25140012320 is an apocalyptic number.

It is an amenable number.

5140012320 is an abundant number, since it is smaller than the sum of its proper divisors (12400284636).

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

5140012320 is a wasteful number, since it uses less digits than its factorization.

5140012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569474 (or 3569463 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5140012320 is about 71693.8792366545. The cubic root of 5140012320 is about 1725.7904178530.

Adding to 5140012320 its reverse (232100415), we get a palindrome (5372112735).

The spelling of 5140012320 in words is "five billion, one hundred forty million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3569453 7138906 10708359 14277812 17847265 21416718 28555624 32125077 35694530 42833436 53541795 57111248 64250154 71389060 85666872 107083590 114222496 128500308 142778120 160625385 171333744 214167180 257000616 285556240 321250770 342667488 428334360 514001232 571112480 642501540 856668720 1028002464 1285003080 1713337440 2570006160 5140012320