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5339208320 = 27573114281
BaseRepresentation
bin1001111100011110…
…11101101010000000
3111210002122212220022
410332033131222000
541413314131240
62241445433012
7246211344005
oct47617355200
914702585808
105339208320
11229a931266
12105010b768
13671206a84
1438915d8ac
15213b0c9b5
hex13e3dda80

5339208320 has 64 divisors (see below), whose sum is σ = 12939008040. Its totient is φ = 2106408960.

The previous prime is 5339208317. The next prime is 5339208323. The reversal of 5339208320 is 238029335.

It is an interprime number because it is at equal distance from previous prime (5339208317) and next prime (5339208323).

It can be written as a sum of positive squares in 4 ways, for example, as 4657789504 + 681418816 = 68248^2 + 26104^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5339208323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10421 + ... + 103860.

Almost surely, 25339208320 is an apocalyptic number.

It is an amenable number.

5339208320 is an abundant number, since it is smaller than the sum of its proper divisors (7599799720).

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

5339208320 is a wasteful number, since it uses less digits than its factorization.

5339208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114373 (or 114361 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 5339208320 is about 73069.8865470585. The cubic root of 5339208320 is about 1747.8022282517.

The spelling of 5339208320 in words is "five billion, three hundred thirty-nine million, two hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 292 320 365 584 640 730 1168 1460 2336 2920 4672 5840 9344 11680 23360 46720 114281 228562 457124 571405 914248 1142810 1828496 2285620 3656992 4571240 7313984 8342513 9142480 14627968 16685026 18284960 33370052 36569920 41712565 66740104 73139840 83425130 133480208 166850260 266960416 333700520 533920832 667401040 1067841664 1334802080 2669604160 5339208320