Search a number
-
+
5714526720 = 29357106297
BaseRepresentation
bin1010101001001110…
…01100001000000000
3112202020220000221210
411110213030020000
543200404323340
62343014050120
7261416450520
oct52447141000
915666800853
105714526720
112472779561
121135949940
13700bb6076
143c2d3b680
15236a48180
hex1549cc200

5714526720 has 160 divisors (see below), whose sum is σ = 20878627968. Its totient is φ = 1306165248.

The previous prime is 5714526703. The next prime is 5714526737. The reversal of 5714526720 is 276254175.

It is an interprime number because it is at equal distance from previous prime (5714526703) and next prime (5714526737).

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612 + ... + 106908.

Almost surely, 25714526720 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 5714526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439313984).

5714526720 is an abundant number, since it is smaller than the sum of its proper divisors (15164101248).

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

5714526720 is a wasteful number, since it uses less digits than its factorization.

5714526720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106330 (or 106314 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 5714526720 is about 75594.4886879989. The cubic root of 5714526720 is about 1787.8322040235.

The spelling of 5714526720 in words is "five billion, seven hundred fourteen million, five hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 106297 212594 318891 425188 531485 637782 744079 850376 1062970 1275564 1488158 1594455 1700752 2125940 2232237 2551128 2976316 3188910 3401504 3720395 4251880 4464474 5102256 5952632 6377820 6803008 7440790 8503760 8928948 10204512 11161185 11905264 12755640 13606016 14881580 17007520 17857896 20409024 22322370 23810528 25511280 27212032 29763160 34015040 35715792 40818048 44644740 47621056 51022560 54424064 59526320 68030080 71431584 81636096 89289480 95242112 102045120 119052640 136060160 142863168 163272192 178578960 190484224 204090240 238105280 272120320 285726336 357157920 380968448 408180480 476210560 571452672 714315840 816360960 952421120 1142905344 1428631680 1904842240 2857263360 5714526720