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207161136 = 243271315809
BaseRepresentation
bin11000101100100…
…00011100110000
3112102210212122200
430112100130300
5411013124021
632320103200
75063561220
oct1426203460
9472725580
10207161136
11a6a34256
1259464b00
1333bc3970
141d728080
15132c1126
hexc590730

207161136 has 120 divisors (see below), whose sum is σ = 713600160. Its totient is φ = 54632448.

The previous prime is 207161131. The next prime is 207161177. The reversal of 207161136 is 631161702.

It is not an unprimeable number, because it can be changed into a prime (207161131) 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 23 ways as a sum of consecutive naturals, for example, 5200 + ... + 21008.

It is an arithmetic number, because the mean of its divisors is an integer number (5946668).

Almost surely, 2207161136 is an apocalyptic number.

207161136 is a gapful number since it is divisible by the number (26) 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 207161136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356800080).

207161136 is an abundant number, since it is smaller than the sum of its proper divisors (506439024).

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

207161136 is a wasteful number, since it uses less digits than its factorization.

207161136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15843 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 207161136 is about 14393.0933436840. The cubic root of 207161136 is about 591.7016240493.

The spelling of 207161136 in words is "two hundred seven million, one hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 15809 31618 47427 63236 94854 110663 126472 142281 189708 205517 221326 252944 284562 331989 379416 411034 442652 569124 616551 663978 758832 822068 885304 995967 1138248 1233102 1327956 1438619 1644136 1770608 1849653 1991934 2276496 2466204 2655912 2877238 3288272 3699306 3983868 4315857 4932408 5311824 5754476 7398612 7967736 8631714 9864816 11508952 12947571 14797224 15935472 17263428 23017904 25895142 29594448 34526856 51790284 69053712 103580568 207161136