Search a number
-
+
208147320 = 23345173779
BaseRepresentation
bin11000110100000…
…01001101111000
3112111122222110000
430122001031320
5411241203240
632353153000
75105136333
oct1432011570
9474588400
10208147320
11a7548187
125985b760
133417a7c4
141d90361a
1513418430
hexc681378

208147320 has 160 divisors (see below), whose sum is σ = 740955600. Its totient is φ = 52227072.

The previous prime is 208147307. The next prime is 208147321. The reversal of 208147320 is 23741802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208147321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53191 + ... + 56969.

Almost surely, 2208147320 is an apocalyptic number.

208147320 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 208147320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370477800).

208147320 is an abundant number, since it is smaller than the sum of its proper divisors (532808280).

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

208147320 is a wasteful number, since it uses less digits than its factorization.

208147320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 208147320 is about 14427.3115998789. The cubic root of 208147320 is about 592.6390636570.

The spelling of 208147320 in words is "two hundred eight million, one hundred forty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 3779 4590 5508 6120 6885 7558 9180 11016 11337 13770 15116 18360 18895 22674 27540 30232 34011 37790 45348 55080 56685 64243 68022 75580 90696 102033 113370 128486 136044 151160 170055 192729 204066 226740 256972 272088 306099 321215 340110 385458 408132 453480 510165 513944 578187 612198 642430 680220 770916 816264 963645 1020330 1156374 1224396 1284860 1360440 1530495 1541832 1734561 1927290 2040660 2312748 2448792 2569720 2890935 3060990 3469122 3854580 4081320 4625496 5203683 5781870 6121980 6938244 7709160 8672805 10407366 11563740 12243960 13876488 17345610 20814732 23127480 26018415 34691220 41629464 52036830 69382440 104073660 208147320