Search a number
-
+
4980303360 = 2933572053
BaseRepresentation
bin1001010001101100…
…10110011000000000
3110212002022121212000
410220312112120000
540144424201420
62142105104000
7234262610604
oct45066263000
913762277760
104980303360
11212628469a
12b6ba88000
13614a53586
14353615504
151e2365690
hex128d96600

4980303360 has 160 divisors (see below), whose sum is σ = 17690698080. Its totient is φ = 1328062464.

The previous prime is 4980303359. The next prime is 4980303397. The reversal of 4980303360 is 633030894.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 33094 + ... + 105146.

It is an arithmetic number, because the mean of its divisors is an integer number (110566863).

Almost surely, 24980303360 is an apocalyptic number.

4980303360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4980303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845349040).

4980303360 is an abundant number, since it is smaller than the sum of its proper divisors (12710394720).

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

4980303360 is an equidigital number, since it uses as much as digits as its factorization.

4980303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72085 (or 72063 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4980303360 is about 70571.2644069808. The cubic root of 4980303360 is about 1707.7276063952.

The spelling of 4980303360 in words is "four billion, nine hundred eighty million, three hundred three thousand, three hundred sixty".

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 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 72053 144106 216159 288212 360265 432318 576424 648477 720530 864636 1080795 1152848 1296954 1441060 1729272 1945431 2161590 2305696 2593908 2882120 3242385 3458544 3890862 4323180 4611392 5187816 5764240 6484770 6917088 7781724 8646360 9222784 9727155 10375632 11528480 12969540 13834176 15563448 17292720 18445568 19454310 20751264 23056960 25939080 27668352 31126896 34585440 36891136 38908620 41502528 46113920 51878160 55336704 62253792 69170880 77817240 83005056 92227840 103756320 110673408 124507584 138341760 155634480 166010112 184455680 207512640 249015168 276683520 311268960 332020224 415025280 498030336 553367040 622537920 830050560 996060672 1245075840 1660101120 2490151680 4980303360