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206681410 = 251317412281
BaseRepresentation
bin11000101000110…
…11010101000010
3112101220111121001
430110123111002
5410402301120
632301522214
75056522465
oct1424332502
9471814531
10206681410
11a6736891
125927336a
1333a864c0
141d6412dc
1513228e0a
hexc51b542

206681410 has 64 divisors (see below), whose sum is σ = 434748384. Its totient is φ = 70041600.

The previous prime is 206681389. The next prime is 206681417. The reversal of 206681410 is 14186602.

It can be written as a sum of positive squares in 16 ways, for example, as 385641 + 206295769 = 621^2 + 14363^2 .

It is not an unprimeable number, because it can be changed into a prime (206681417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89470 + ... + 91750.

Almost surely, 2206681410 is an apocalyptic number.

206681410 is an abundant number, since it is smaller than the sum of its proper divisors (228066974).

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

206681410 is a wasteful number, since it uses less digits than its factorization.

206681410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 206681410 is about 14376.4185387043. The cubic root of 206681410 is about 591.2445337381.

The spelling of 206681410 in words is "two hundred six million, six hundred eighty-one thousand, four hundred ten".

Divisors: 1 2 5 10 13 17 26 34 41 65 82 85 130 170 205 221 410 442 533 697 1066 1105 1394 2210 2281 2665 3485 4562 5330 6970 9061 11405 18122 22810 29653 38777 45305 59306 77554 90610 93521 148265 187042 193885 296530 387770 467605 504101 935210 1008202 1215773 1589857 2431546 2520505 3179714 5041010 6078865 7949285 12157730 15898570 20668141 41336282 103340705 206681410