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5894312320 = 275135313367
BaseRepresentation
bin1010111110101010…
…00001000110000000
3120012210012002102201
411133111001012000
544032420443240
62412515322544
7266031554011
oct53725010600
916183162381
105894312320
1125552050a6
121185bb0454
1372c213490
143dcb7b008
1524770cd9a
hex15f541180

5894312320 has 128 divisors (see below), whose sum is σ = 15462498240. Its totient is φ = 2135138304.

The previous prime is 5894312311. The next prime is 5894312323. The reversal of 5894312320 is 232134985.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5894312320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5894312323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434277 + ... + 447643.

Almost surely, 25894312320 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 5894312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7731249120).

5894312320 is an abundant number, since it is smaller than the sum of its proper divisors (9568185920).

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

5894312320 is a wasteful number, since it uses less digits than its factorization.

5894312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13452 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 5894312320 is about 76774.4249082987. The cubic root of 5894312320 is about 1806.3880351401.

The spelling of 5894312320 in words is "five billion, eight hundred ninety-four million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 64 65 80 104 106 128 130 160 208 212 260 265 320 416 424 520 530 640 689 832 848 1040 1060 1378 1664 1696 2080 2120 2756 3392 3445 4160 4240 5512 6784 6890 8320 8480 11024 13367 13780 16960 22048 26734 27560 33920 44096 53468 55120 66835 88192 106936 110240 133670 173771 213872 220480 267340 347542 427744 440960 534680 695084 708451 855488 868855 1069360 1390168 1416902 1710976 1737710 2138720 2780336 2833804 3475420 3542255 4277440 5560672 5667608 6950840 7084510 8554880 9209863 11121344 11335216 13901680 14169020 18419726 22242688 22670432 27803360 28338040 36839452 45340864 46049315 55606720 56676080 73678904 90681728 92098630 111213440 113352160 147357808 184197260 226704320 294715616 368394520 453408640 589431232 736789040 1178862464 1473578080 2947156160 5894312320