Search a number
-
+
5305530240 = 27335307033
BaseRepresentation
bin1001111000011101…
…11111011110000000
3111200202021212021000
410330032333132000
541331203431430
62234243532000
7245322156123
oct47416773600
914622255230
105305530240
11228291943a
12104098a000
1366724490a
143848b43ba
15210ba8e60
hex13c3bf780

5305530240 has 128 divisors (see below), whose sum is σ = 18790480800. Its totient is φ = 1414803456.

The previous prime is 5305530173. The next prime is 5305530253. The reversal of 5305530240 is 420355035.

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

It is a super-2 number, since 2×53055302402 = 56297302255108915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 136237 + ... + 170796.

Almost surely, 25305530240 is an apocalyptic number.

It is an amenable number.

5305530240 is an abundant number, since it is smaller than the sum of its proper divisors (13484950560).

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

5305530240 is a wasteful number, since it uses less digits than its factorization.

5305530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307061 (or 307043 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 5305530240 is about 72839.0708342714. The cubic root of 5305530240 is about 1744.1196085518.

Adding to 5305530240 its reverse (420355035), we get a palindrome (5725885275).

The spelling of 5305530240 in words is "five billion, three hundred five million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 307033 614066 921099 1228132 1535165 1842198 2456264 2763297 3070330 3684396 4605495 4912528 5526594 6140660 7368792 8289891 9210990 9825056 11053188 12281320 13816485 14737584 16579782 18421980 19650112 22106376 24562640 27632970 29475168 33159564 36843960 39300224 41449455 44212752 49125280 55265940 58950336 66319128 73687920 82898910 88425504 98250560 110531880 117900672 132638256 147375840 165797820 176851008 196501120 221063760 265276512 294751680 331595640 353702016 442127520 530553024 589503360 663191280 884255040 1061106048 1326382560 1768510080 2652765120 5305530240