Search a number
-
+
210326900 = 225271132659
BaseRepresentation
bin11001000100101…
…01010101110100
3112122202201021012
430202111111310
5412320430100
632512011352
75132514650
oct1442252564
9478681235
10210326900
11a87a6793
125a530b58
13347618b4
141dd0da60
15136e9135
hexc895574

210326900 has 72 divisors (see below), whose sum is σ = 526424640. Its totient is φ = 71447040.

The previous prime is 210326863. The next prime is 210326911. The reversal of 210326900 is 9623012.

It is a super-2 number, since 2×2103269002 = 88474809727220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 77771 + ... + 80429.

Almost surely, 2210326900 is an apocalyptic number.

210326900 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 210326900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263212320).

210326900 is an abundant number, since it is smaller than the sum of its proper divisors (316097740).

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

210326900 is a wasteful number, since it uses less digits than its factorization.

210326900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 210326900 is about 14502.6514817119. The cubic root of 210326900 is about 594.7004588828.

Adding to 210326900 its reverse (9623012), we get a palindrome (219949912).

The spelling of 210326900 in words is "two hundred ten million, three hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 113 140 175 226 350 452 565 700 791 1130 1582 2260 2659 2825 3164 3955 5318 5650 7910 10636 11300 13295 15820 18613 19775 26590 37226 39550 53180 66475 74452 79100 93065 132950 186130 265900 300467 372260 465325 600934 930650 1201868 1502335 1861300 2103269 3004670 4206538 6009340 7511675 8413076 10516345 15023350 21032690 30046700 42065380 52581725 105163450 210326900