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204040760 = 235711312137
BaseRepresentation
bin11000010100101…
…10101000111000
3112012221100022012
430022112220320
5404213301020
632125145052
75025214010
oct1412265070
9465840265
10204040760
11a51a2930
12583bb188
13333705a1
141d154c40
1512da67c5
hexc296a38

204040760 has 128 divisors (see below), whose sum is σ = 591114240. Its totient is φ = 61516800.

The previous prime is 204040721. The next prime is 204040769. The reversal of 204040760 is 67040402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204040769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94412 + ... + 96548.

It is an arithmetic number, because the mean of its divisors is an integer number (4618080).

Almost surely, 2204040760 is an apocalyptic number.

204040760 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 204040760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295557120).

204040760 is an abundant number, since it is smaller than the sum of its proper divisors (387073480).

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

204040760 is a wasteful number, since it uses less digits than its factorization.

204040760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 204040760 is about 14284.2836712241. The cubic root of 204040760 is about 588.7157357039.

The spelling of 204040760 in words is "two hundred four million, forty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 31 35 40 44 55 56 62 70 77 88 110 124 140 154 155 217 220 248 280 308 310 341 385 434 440 616 620 682 770 868 1085 1240 1364 1540 1705 1736 2137 2170 2387 2728 3080 3410 4274 4340 4774 6820 8548 8680 9548 10685 11935 13640 14959 17096 19096 21370 23507 23870 29918 42740 47014 47740 59836 66247 74795 85480 94028 95480 117535 119672 132494 149590 164549 188056 235070 264988 299180 329098 331235 463729 470140 529976 598360 658196 662470 728717 822745 927458 940280 1316392 1324940 1457434 1645490 1854916 2318645 2649880 2914868 3290980 3643585 3709832 4637290 5101019 5829736 6581960 7287170 9274580 10202038 14574340 18549160 20404076 25505095 29148680 40808152 51010190 102020380 204040760