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206988480 = 2633523957
BaseRepresentation
bin11000101011001…
…10010011000000
3112102111002211000
430111212103000
5410442112410
632312252000
75062241646
oct1425462300
9472432730
10206988480
11a6926566
12593a1000
1333b631ba
141d6c1196
1513289dc0
hexc5664c0

206988480 has 112 divisors (see below), whose sum is σ = 730239840. Its totient is φ = 55194624.

The previous prime is 206988473. The next prime is 206988497. The reversal of 206988480 is 84889602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3339 + ... + 20618.

Almost surely, 2206988480 is an apocalyptic number.

206988480 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 206988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365119920).

206988480 is an abundant number, since it is smaller than the sum of its proper divisors (523251360).

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

206988480 is a wasteful number, since it uses less digits than its factorization.

206988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23983 (or 23967 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 206988480 is about 14387.0942166930. The cubic root of 206988480 is about 591.5371961193.

The spelling of 206988480 in words is "two hundred six million, nine hundred eighty-eight thousand, four hundred eighty".

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 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 23957 47914 71871 95828 119785 143742 191656 215613 239570 287484 359355 383312 431226 479140 574968 646839 718710 766624 862452 958280 1078065 1149936 1293678 1437420 1533248 1724904 1916560 2156130 2299872 2587356 2874840 3234195 3449808 3833120 4312260 4599744 5174712 5749680 6468390 6899616 7666240 8624520 10349424 11499360 12936780 13799232 17249040 20698848 22998720 25873560 34498080 41397696 51747120 68996160 103494240 206988480