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204280320 = 293567397
BaseRepresentation
bin11000010110100…
…01001000000000
3112020101111220210
430023101020000
5404243432240
632134234120
75030232306
oct1413211000
9466344823
10204280320
11a5346912
12584b5940
133342563a
141d1b8276
1512e02780
hexc2d1200

204280320 has 160 divisors (see below), whose sum is σ = 664475328. Its totient is φ = 53526528.

The previous prime is 204280247. The next prime is 204280331. The reversal of 204280320 is 23082402.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514362 + ... + 514758.

Almost surely, 2204280320 is an apocalyptic number.

204280320 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 204280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332237664).

204280320 is an abundant number, since it is smaller than the sum of its proper divisors (460195008).

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

204280320 is an equidigital number, since it uses as much as digits as its factorization.

204280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 204280320 is about 14292.6666511187. Note that the first 4 decimals coincide. The cubic root of 204280320 is about 588.9460452151.

The spelling of 204280320 in words is "two hundred four million, two hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 256 268 320 335 384 397 402 480 512 536 640 670 768 794 804 960 1005 1072 1191 1280 1340 1536 1588 1608 1920 1985 2010 2144 2382 2560 2680 3176 3216 3840 3970 4020 4288 4764 5360 5955 6352 6432 7680 7940 8040 8576 9528 10720 11910 12704 12864 15880 16080 17152 19056 21440 23820 25408 25728 26599 31760 32160 34304 38112 42880 47640 50816 51456 53198 63520 64320 76224 79797 85760 95280 101632 102912 106396 127040 128640 132995 152448 159594 171520 190560 203264 212792 254080 257280 265990 304896 319188 381120 398985 425584 508160 514560 531980 609792 638376 762240 797970 851168 1016320 1063960 1276752 1524480 1595940 1702336 2127920 2553504 3048960 3191880 3404672 4255840 5107008 6383760 6809344 8511680 10214016 12767520 13618688 17023360 20428032 25535040 34046720 40856064 51070080 68093440 102140160 204280320