Search a number
-
+
210700980 = 22335727963
BaseRepresentation
bin11001000111100…
…00101010110100
3112200110201102000
430203300222310
5412414412410
632524015300
75135633400
oct1443605264
9480421360
10210700980
11a8a31846
125a691530
1334862c49
141ddaa100
151376edc0
hexc8f0ab4

210700980 has 144 divisors (see below), whose sum is σ = 762632640. Its totient is φ = 48154176.

The previous prime is 210700967. The next prime is 210700991. The reversal of 210700980 is 89007012.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22479 + ... + 30441.

It is an arithmetic number, because the mean of its divisors is an integer number (5296060).

Almost surely, 2210700980 is an apocalyptic number.

210700980 is a gapful number since it is divisible by the number (20) 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 210700980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381316320).

210700980 is an abundant number, since it is smaller than the sum of its proper divisors (551931660).

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

210700980 is a wasteful number, since it uses less digits than its factorization.

210700980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 210700980 is about 14515.5427042877. The cubic root of 210700980 is about 595.0528211469.

Adding to 210700980 its reverse (89007012), we get a palindrome (299707992).

The spelling of 210700980 in words is "two hundred ten million, seven hundred thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 7963 8820 13230 15926 23889 26460 31852 39815 47778 55741 71667 79630 95556 111482 119445 143334 159260 167223 215001 222964 238890 278705 286668 334446 358335 390187 430002 477780 501669 557410 668892 716670 780374 836115 860004 1003338 1075005 1114820 1170561 1433340 1505007 1560748 1672230 1950935 2006676 2150010 2341122 2508345 3010014 3344460 3511683 3901870 4300020 4682244 5016690 5852805 6020028 7023366 7525035 7803740 10033380 10535049 11705610 14046732 15050070 17558415 21070098 23411220 30100140 35116830 42140196 52675245 70233660 105350490 210700980