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206720 = 2751719
BaseRepresentation
bin110010011110000000
3101111120022
4302132000
523103340
64233012
71520453
oct623600
9344508
10206720
11131348
129b768
1373127
145549a
15413b5
hex32780

206720 has 64 divisors (see below), whose sum is σ = 550800. Its totient is φ = 73728.

The previous prime is 206699. The next prime is 206749. The reversal of 206720 is 27602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

206720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10871 + ... + 10889.

2206720 is an apocalyptic number.

206720 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 206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275400).

206720 is an abundant number, since it is smaller than the sum of its proper divisors (344080).

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

206720 is a wasteful number, since it uses less digits than its factorization.

206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 206720 is about 454.6647116283. The cubic root of 206720 is about 59.1281329027.

The spelling of 206720 in words is "two hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 272 304 320 323 340 380 544 608 640 646 680 760 1088 1216 1292 1360 1520 1615 2176 2432 2584 2720 3040 3230 5168 5440 6080 6460 10336 10880 12160 12920 20672 25840 41344 51680 103360 206720