Search a number
-
+
210440300 = 22527267641
BaseRepresentation
bin11001000101100…
…01000001101100
3112122222110211012
430202301001230
5412333042200
632514244352
75133466400
oct1442610154
9478873735
10210440300
11a8873a04
125a5866b8
13347a13b5
141dd3d100
151371ca35
hexc8b106c

210440300 has 108 divisors (see below), whose sum is σ = 539981064. Its totient is φ = 70963200.

The previous prime is 210440281. The next prime is 210440309. The reversal of 210440300 is 3044012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (210440309) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 327980 + ... + 328620.

Almost surely, 2210440300 is an apocalyptic number.

210440300 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 210440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269990532).

210440300 is an abundant number, since it is smaller than the sum of its proper divisors (329540764).

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

210440300 is a wasteful number, since it uses less digits than its factorization.

210440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 210440300 is about 14506.5605847837. The cubic root of 210440300 is about 594.8073193866.

Adding to 210440300 its reverse (3044012), we get a palindrome (213484312).

The spelling of 210440300 in words is "two hundred ten million, four hundred forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 67 70 98 100 134 140 175 196 245 268 335 350 469 490 641 670 700 938 980 1225 1282 1340 1675 1876 2345 2450 2564 3205 3283 3350 4487 4690 4900 6410 6566 6700 8974 9380 11725 12820 13132 16025 16415 17948 22435 23450 31409 32050 32830 42947 44870 46900 62818 64100 65660 82075 85894 89740 112175 125636 157045 164150 171788 214735 224350 300629 314090 328300 429470 448700 601258 628180 785225 858940 1073675 1202516 1503145 1570450 2104403 2147350 3006290 3140900 4208806 4294700 6012580 7515725 8417612 10522015 15031450 21044030 30062900 42088060 52610075 105220150 210440300