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204206080 = 212513259
BaseRepresentation
bin11000010101111…
…11000000000000
3112020020202002011
430022333000000
5404234043310
632132502304
75026503001
oct1412770000
9466222064
10204206080
11a52a6061
125847a994
13333ca900
141d1991a8
1512dda78a
hexc2bf000

204206080 has 156 divisors (see below), whose sum is σ = 539623080. Its totient is φ = 74121216.

The previous prime is 204206077. The next prime is 204206131. The reversal of 204206080 is 80602402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3461091 + ... + 3461149.

Almost surely, 2204206080 is an apocalyptic number.

204206080 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 204206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269811540).

204206080 is an abundant number, since it is smaller than the sum of its proper divisors (335417000).

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

204206080 is an equidigital number, since it uses as much as digits as its factorization.

204206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 204206080 is about 14290.0692790483. The cubic root of 204206080 is about 588.8746912179.

Adding to 204206080 its reverse (80602402), we get a palindrome (284808482).

The spelling of 204206080 in words is "two hundred four million, two hundred six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 64 65 80 104 118 128 130 160 169 208 236 256 260 295 320 338 416 472 512 520 590 640 676 767 832 845 944 1024 1040 1180 1280 1352 1534 1664 1690 1888 2048 2080 2360 2560 2704 3068 3328 3380 3776 3835 4096 4160 4720 5120 5408 6136 6656 6760 7552 7670 8320 9440 9971 10240 10816 12272 13312 13520 15104 15340 16640 18880 19942 20480 21632 24544 26624 27040 30208 30680 33280 37760 39884 43264 49088 49855 53248 54080 60416 61360 66560 75520 79768 86528 98176 99710 108160 120832 122720 133120 151040 159536 173056 196352 199420 216320 241664 245440 266240 302080 319072 346112 392704 398840 432640 490880 604160 638144 692224 785408 797680 865280 981760 1208320 1276288 1570816 1595360 1730560 1963520 2552576 3141632 3190720 3461120 3927040 5105152 6381440 7854080 10210304 12762880 15708160 20420608 25525760 40841216 51051520 102103040 204206080