Search a number
-
+
6024742360 = 2357132371963
BaseRepresentation
bin1011001110001101…
…00100010111011000
3120112212121121210221
411213012210113120
544314313223420
62433455045424
7302204315350
oct54706442730
916485547727
106024742360
1126118a011a
121201810874
1375024c910
1441220db60
15253dc3caa
hex1671a45d8

6024742360 has 128 divisors (see below), whose sum is σ = 17409530880. Its totient is φ = 1823804928.

The previous prime is 6024742351. The next prime is 6024742363. The reversal of 6024742360 is 632474206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6024742363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47739 + ... + 119701.

It is an arithmetic number, because the mean of its divisors is an integer number (136011960).

Almost surely, 26024742360 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 6024742360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704765440).

6024742360 is an abundant number, since it is smaller than the sum of its proper divisors (11384788520).

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

6024742360 is a wasteful number, since it uses less digits than its factorization.

6024742360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72017 (or 72013 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 6024742360 is about 77619.2138584255. The cubic root of 6024742360 is about 1819.6149368517.

The spelling of 6024742360 in words is "six billion, twenty-four million, seven hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 70 91 92 104 115 130 140 161 182 184 230 260 280 299 322 364 455 460 520 598 644 728 805 910 920 1196 1288 1495 1610 1820 2093 2392 2990 3220 3640 4186 5980 6440 8372 10465 11960 16744 20930 41860 71963 83720 143926 287852 359815 503741 575704 719630 935519 1007482 1439260 1655149 1871038 2014964 2518705 2878520 3310298 3742076 4029928 4677595 5037410 6548633 6620596 7484152 8275745 9355190 10074820 11586043 13097266 13241192 16551490 18710380 20149640 21516937 23172086 26194532 32743165 33102980 37420760 43033874 46344172 52389064 57930215 65486330 66205960 86067748 92688344 107584685 115860430 130972660 150618559 172135496 215169370 231720860 261945320 301237118 430338740 463441720 602474236 753092795 860677480 1204948472 1506185590 3012371180 6024742360