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209784680 = 23572107033
BaseRepresentation
bin11001000000100…
…00111101101000
3112121202011110222
430200100331220
5412201102210
632452225212
75125066100
oct1440207550
9477664428
10209784680
11a8466376
125a30b208
1334601b61
141dc0c200
151363d655
hexc810f68

209784680 has 48 divisors (see below), whose sum is σ = 549084420. Its totient is φ = 71925504.

The previous prime is 209784677. The next prime is 209784683. The reversal of 209784680 is 86487902.

It is an interprime number because it is at equal distance from previous prime (209784677) and next prime (209784683).

It can be written as a sum of positive squares in 2 ways, for example, as 204318436 + 5466244 = 14294^2 + 2338^2 .

It is a super-2 number, since 2×2097846802 = 88019223925404800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (209784683) 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 11 ways as a sum of consecutive naturals, for example, 51557 + ... + 55476.

Almost surely, 2209784680 is an apocalyptic number.

209784680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209784680 is an abundant number, since it is smaller than the sum of its proper divisors (339299740).

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

209784680 is a wasteful number, since it uses less digits than its factorization.

209784680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107058 (or 107047 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 209784680 is about 14483.9455950373. The cubic root of 209784680 is about 594.1889757609.

The spelling of 209784680 in words is "two hundred nine million, seven hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 107033 214066 428132 535165 749231 856264 1070330 1498462 2140660 2996924 3746155 4281320 5244617 5993848 7492310 10489234 14984620 20978468 26223085 29969240 41956936 52446170 104892340 209784680