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206897004 = 22351719659
BaseRepresentation
bin11000101010011…
…11111101101100
3112102022110100000
430111033331230
5410431201004
632310304300
75061411156
oct1425177554
9472273300
10206897004
11a6873866
1259358090
1333b30682
141d699ad6
151326cc39
hexc54ff6c

206897004 has 144 divisors (see below), whose sum is σ = 605404800. Its totient is φ = 61399296.

The previous prime is 206896997. The next prime is 206897017. The reversal of 206897004 is 400798602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 206897004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313627 + ... + 314285.

It is an arithmetic number, because the mean of its divisors is an integer number (4204200).

Almost surely, 2206897004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206897004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302702400).

206897004 is an abundant number, since it is smaller than the sum of its proper divisors (398507796).

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

206897004 is a wasteful number, since it uses less digits than its factorization.

206897004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 206897004 is about 14383.9147661546. The cubic root of 206897004 is about 591.4500424287.

The spelling of 206897004 in words is "two hundred six million, eight hundred ninety-seven thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 243 306 323 324 342 459 486 513 612 646 659 684 918 969 972 1026 1292 1318 1377 1539 1836 1938 1977 2052 2636 2754 2907 3078 3876 3954 4131 4617 5508 5814 5931 6156 7908 8262 8721 9234 11203 11628 11862 12521 16524 17442 17793 18468 22406 23724 25042 26163 33609 34884 35586 37563 44812 50084 52326 53379 67218 71172 75126 78489 100827 104652 106758 112689 134436 150252 156978 160137 201654 212857 213516 225378 302481 313956 320274 338067 403308 425714 450756 604962 638571 640548 676134 851428 907443 1014201 1209924 1277142 1352268 1814886 1915713 2028402 2554284 2722329 3042603 3629772 3831426 4056804 5444658 5747139 6085206 7662852 10889316 11494278 12170412 17241417 22988556 34482834 51724251 68965668 103448502 206897004