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204296880 = 243529149197
BaseRepresentation
bin11000010110101…
…01001010110000
3112020102100122010
430023111022300
5404300000010
632134442520
75030331504
oct1413251260
9466370563
10204296880
11a53582a7
1258503440
1333430038
141d1c0304
1512e07620
hexc2d52b0

204296880 has 160 divisors (see below), whose sum is σ = 662904000. Its totient is φ = 51982336.

The previous prime is 204296867. The next prime is 204296903. The reversal of 204296880 is 88692402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036942 + ... + 1037138.

It is an arithmetic number, because the mean of its divisors is an integer number (4143150).

Almost surely, 2204296880 is an apocalyptic number.

204296880 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 204296880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331452000).

204296880 is an abundant number, since it is smaller than the sum of its proper divisors (458607120).

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

204296880 is a wasteful number, since it uses less digits than its factorization.

204296880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 204296880 is about 14293.2459574444. The cubic root of 204296880 is about 588.9619591041.

The spelling of 204296880 in words is "two hundred four million, two hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 149 174 197 232 240 290 298 348 394 435 447 464 580 591 596 696 745 788 870 894 985 1160 1182 1192 1392 1490 1576 1740 1788 1970 2235 2320 2364 2384 2955 2980 3152 3480 3576 3940 4321 4470 4728 5713 5910 5960 6960 7152 7880 8642 8940 9456 11426 11820 11920 12963 15760 17139 17284 17880 21605 22852 23640 25926 28565 29353 34278 34568 35760 43210 45704 47280 51852 57130 58706 64815 68556 69136 85695 86420 88059 91408 103704 114260 117412 129630 137112 146765 171390 172840 176118 207408 228520 234824 259260 274224 293530 342780 345680 352236 440295 457040 469648 518520 587060 685560 704472 851237 880590 1037040 1174120 1371120 1408944 1702474 1761180 2348240 2553711 3404948 3522360 4256185 5107422 6809896 7044720 8512370 10214844 12768555 13619792 17024740 20429688 25537110 34049480 40859376 51074220 68098960 102148440 204296880