Search a number
-
+
7024116100 = 2252174292
BaseRepresentation
bin1101000101010101…
…11000000110000100
3200010112010001212011
412202222320012010
5103341133203400
63120555104004
7336031000411
oct64252700604
920115101764
107024116100
112a84a26431
121440442004
1387c2caa21
144a8c37108
152b19ce8ba
hex1a2ab8184

7024116100 has 135 divisors (see below), whose sum is σ = 16772670187. Its totient is φ = 2553187840.

The previous prime is 7024116089. The next prime is 7024116157. The reversal of 7024116100 is 16114207.

The square root of 7024116100 is 83810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 5564264836 + 1459851264 = 74594^2 + 38208^2 .

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 242210886 + ... + 242210914.

Almost surely, 27024116100 is an apocalyptic number.

7024116100 is the 83810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7024116100

7024116100 is an abundant number, since it is smaller than the sum of its proper divisors (9748554087).

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

7024116100 is an equidigital number, since it uses as much as digits as its factorization.

7024116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The cubic root of 7024116100 is about 1915.1254476785.

The spelling of 7024116100 in words is "seven billion, twenty-four million, one hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 289 290 340 425 493 578 580 725 841 850 986 1156 1445 1450 1682 1700 1972 2465 2890 2900 3364 4205 4913 4930 5780 7225 8381 8410 9826 9860 12325 14297 14450 16762 16820 19652 21025 24565 24650 28594 28900 33524 41905 42050 49130 49300 57188 71485 83521 83810 84100 98260 122825 142477 142970 167042 167620 209525 243049 245650 284954 285940 334084 357425 417605 419050 486098 491300 569908 712385 714850 835210 838100 972196 1215245 1424770 1429700 1670420 2088025 2422109 2430490 2849540 3561925 4131833 4176050 4844218 4860980 6076225 7123850 8263666 8352100 9688436 12110545 12152450 14247700 16527332 20659165 24221090 24304900 41318330 48442180 60552725 70241161 82636660 103295825 121105450 140482322 206591650 242210900 280964644 351205805 413183300 702411610 1404823220 1756029025 3512058050 7024116100