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207006030 = 23457113319
BaseRepresentation
bin11000101011010…
…10100101001110
3112102111222220000
430111222211032
5410443143110
632312505130
75062344060
oct1425524516
9472458800
10207006030
11a6938770
12593ab1a6
1333b6b19a
141d6c7730
15132901c0
hexc56a94e

207006030 has 160 divisors (see below), whose sum is σ = 694172160. Its totient is φ = 43001280.

The previous prime is 207006029. The next prime is 207006061. The reversal of 207006030 is 30600702.

207006030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 207005994 and 207006012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60711 + ... + 64029.

It is an arithmetic number, because the mean of its divisors is an integer number (4338576).

Almost surely, 2207006030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207006030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347086080).

207006030 is an abundant number, since it is smaller than the sum of its proper divisors (487166130).

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

207006030 is a wasteful number, since it uses less digits than its factorization.

207006030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 207006030 is about 14387.7041253982. The cubic root of 207006030 is about 591.5539139328.

Adding to 207006030 its reverse (30600702), we get a palindrome (237606732).

The spelling of 207006030 in words is "two hundred seven million, six thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 81 90 99 105 110 126 135 154 162 165 189 198 210 231 270 297 315 330 378 385 405 462 495 567 594 630 693 770 810 891 945 990 1134 1155 1386 1485 1782 1890 2079 2310 2835 2970 3319 3465 4158 4455 5670 6237 6638 6930 8910 9957 10395 12474 16595 19914 20790 23233 29871 31185 33190 36509 46466 49785 59742 62370 69699 73018 89613 99570 109527 116165 139398 149355 179226 182545 209097 219054 232330 255563 268839 298710 328581 348495 365090 418194 448065 511126 537678 547635 627291 657162 696990 766689 896130 985743 1045485 1095270 1254582 1277815 1344195 1533378 1642905 1881873 1971486 2090970 2300067 2555630 2688390 2957229 3136455 3285810 3763746 3833445 4600134 4928715 5914458 6272910 6900201 7666890 9409365 9857430 11500335 13800402 14786145 18818730 20700603 23000670 29572290 34501005 41401206 69002010 103503015 207006030