Search a number
-
+
210203140 = 225721911123
BaseRepresentation
bin11001000011101…
…11001000000100
3112122112102111111
430201313020010
5412303000030
632505214404
75131461100
oct1441671004
9478472444
10210203140
11a8721804
125a491404
133471a474
141dcba900
15136c262a
hexc877204

210203140 has 72 divisors (see below), whose sum is σ = 516644352. Its totient is φ = 71628480.

The previous prime is 210203111. The next prime is 210203159. The reversal of 210203140 is 41302012.

It is a self number, because there is not a number n which added to its sum of digits gives 210203140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186619 + ... + 187741.

It is an arithmetic number, because the mean of its divisors is an integer number (7175616).

Almost surely, 2210203140 is an apocalyptic number.

210203140 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 210203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258322176).

210203140 is an abundant number, since it is smaller than the sum of its proper divisors (306441212).

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

210203140 is a wasteful number, since it uses less digits than its factorization.

210203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 210203140 is about 14498.3840478862. The cubic root of 210203140 is about 594.5837919715.

Adding to 210203140 its reverse (41302012), we get a palindrome (251505152).

The spelling of 210203140 in words is "two hundred ten million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 191 196 245 382 490 764 955 980 1123 1337 1910 2246 2674 3820 4492 5348 5615 6685 7861 9359 11230 13370 15722 18718 22460 26740 31444 37436 39305 46795 55027 78610 93590 110054 157220 187180 214493 220108 275135 428986 550270 857972 1072465 1100540 1501451 2144930 3002902 4289860 6005804 7507255 10510157 15014510 21020314 30029020 42040628 52550785 105101570 210203140