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206984160 = 2534515971
BaseRepresentation
bin11000101011001…
…01001111100000
3112102110212220000
430111211033200
5410441443120
632312220000
75062223235
oct1425451740
9472425800
10206984160
11a6923299
125939a600
1333b61246
141d6bd78c
1513288990
hexc5653e0

206984160 has 120 divisors (see below), whose sum is σ = 730527336. Its totient is φ = 55192320.

The previous prime is 206984159. The next prime is 206984161. The reversal of 206984160 is 61489602.

206984160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206984159) and next prime (206984161).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206984161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4975 + ... + 20945.

Almost surely, 2206984160 is an apocalyptic number.

206984160 is a gapful number since it is divisible by the number (20) 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 206984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365263668).

206984160 is an abundant number, since it is smaller than the sum of its proper divisors (523543176).

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

206984160 is a wasteful number, since it uses less digits than its factorization.

206984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15998 (or 15981 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 206984160 is about 14386.9440813538. The cubic root of 206984160 is about 591.5330808203.

The spelling of 206984160 in words is "two hundred six million, nine hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 15971 31942 47913 63884 79855 95826 127768 143739 159710 191652 239565 255536 287478 319420 383304 431217 479130 511072 574956 638840 718695 766608 862434 958260 1149912 1277680 1293651 1437390 1533216 1724868 1916520 2156085 2299824 2555360 2587302 2874780 3449736 3833040 4312170 4599648 5174604 5749560 6468255 6899472 7666080 8624340 10349208 11499120 12936510 13798944 17248680 20698416 22998240 25873020 34497360 41396832 51746040 68994720 103492080 206984160