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206110720 = 21651737
BaseRepresentation
bin11000100100100…
…00000000000000
3112100211111202101
430102100000000
5410231020340
632241400144
75051624614
oct1422200000
9470744671
10206110720
11a6387042
1259039054
133391680a
141d533344
1513164c9a
hexc490000

206110720 has 136 divisors (see below), whose sum is σ = 537915384. Its totient is φ = 75497472.

The previous prime is 206110711. The next prime is 206110769. The reversal of 206110720 is 27011602.

It can be written as a sum of positive squares in 4 ways, for example, as 84934656 + 121176064 = 9216^2 + 11008^2 .

It is a tau number, because it is divible by the number of its divisors (136).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5570542 + ... + 5570578.

Almost surely, 2206110720 is an apocalyptic number.

206110720 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 206110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268957692).

206110720 is an abundant number, since it is smaller than the sum of its proper divisors (331804664).

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

206110720 is an frugal number, since it uses more digits than its factorization.

206110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 206110720 is about 14356.5566902374. The cubic root of 206110720 is about 590.6998494019.

The spelling of 206110720 in words is "two hundred six million, one hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 64 68 74 80 85 128 136 148 160 170 185 256 272 296 320 340 370 512 544 592 629 640 680 740 1024 1088 1184 1258 1280 1360 1480 2048 2176 2368 2516 2560 2720 2960 3145 4096 4352 4736 5032 5120 5440 5920 6290 8192 8704 9472 10064 10240 10880 11840 12580 16384 17408 18944 20128 20480 21760 23680 25160 32768 34816 37888 40256 40960 43520 47360 50320 65536 69632 75776 80512 81920 87040 94720 100640 139264 151552 161024 163840 174080 189440 201280 278528 303104 322048 327680 348160 378880 402560 557056 606208 644096 696320 757760 805120 1114112 1212416 1288192 1392640 1515520 1610240 2424832 2576384 2785280 3031040 3220480 5152768 5570560 6062080 6440960 10305536 12124160 12881920 20611072 25763840 41222144 51527680 103055360 206110720