Search a number
-
+
210994000 = 2453722153
BaseRepresentation
bin11001001001110…
…00001101010000
3112201000121100121
430210320031100
5413003302000
632534200024
75141263600
oct1444701520
9481017317
10210994000
11a9111a08
125a7b3014
1334936429
1420044c00
15137cbb1a
hexc938350

210994000 has 120 divisors (see below), whose sum is σ = 593754408. Its totient is φ = 72307200.

The previous prime is 210993941. The next prime is 210994013. The reversal of 210994000 is 499012.

It can be written as a sum of positive squares in 4 ways, for example, as 42928704 + 168065296 = 6552^2 + 12964^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 96924 + ... + 99076.

Almost surely, 2210994000 is an apocalyptic number.

210994000 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 210994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296877204).

210994000 is an abundant number, since it is smaller than the sum of its proper divisors (382760408).

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

210994000 is a wasteful number, since it uses less digits than its factorization.

210994000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 210994000 is about 14525.6325163485. The cubic root of 210994000 is about 595.3285382824.

The spelling of 210994000 in words is "two hundred ten million, nine hundred ninety-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2153 2450 2800 3500 3920 4306 4900 6125 7000 8612 9800 10765 12250 14000 15071 17224 19600 21530 24500 30142 34448 43060 49000 53825 60284 75355 86120 98000 105497 107650 120568 150710 172240 210994 215300 241136 269125 301420 376775 421988 430600 527485 538250 602840 753550 843976 861200 1054970 1076500 1205680 1507100 1687952 1883875 2109940 2153000 2637425 3014200 3767750 4219880 4306000 5274850 6028400 7535500 8439760 10549700 13187125 15071000 21099400 26374250 30142000 42198800 52748500 105497000 210994000