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204570090 = 23357397107
BaseRepresentation
bin11000011000101…
…11110111101010
3112020221020102000
430030113313222
5404332220330
632144351430
75032550154
oct1414276752
9466836360
10204570090
11a552459a
1258615576
13334c74ba
141d251ad4
1512e5d560
hexc317dea

204570090 has 128 divisors (see below), whose sum is σ = 563915520. Its totient is φ = 52752384.

The previous prime is 204570071. The next prime is 204570103. The reversal of 204570090 is 90075402.

204570090 is a `hidden beast` number, since 2 + 0 + 4 + 570 + 0 + 90 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1911817 + ... + 1911923.

It is an arithmetic number, because the mean of its divisors is an integer number (4405590).

Almost surely, 2204570090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204570090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281957760).

204570090 is an abundant number, since it is smaller than the sum of its proper divisors (359345430).

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

204570090 is a wasteful number, since it uses less digits than its factorization.

204570090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 204570090 is about 14302.8000755097. The cubic root of 204570090 is about 589.2243854003.

The spelling of 204570090 in words is "two hundred four million, five hundred seventy thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 97 107 135 146 194 214 219 270 291 321 365 438 485 535 582 642 657 730 873 963 970 1070 1095 1314 1455 1605 1746 1926 1971 2190 2619 2889 2910 3210 3285 3942 4365 4815 5238 5778 6570 7081 7811 8730 9630 9855 10379 13095 14162 14445 15622 19710 20758 21243 23433 26190 28890 31137 35405 39055 42486 46866 51895 62274 63729 70299 70810 78110 93411 103790 106215 117165 127458 140598 155685 186822 191187 210897 212430 234330 280233 311370 318645 351495 382374 421794 467055 560466 637290 702990 757667 934110 955935 1054485 1401165 1515334 1911870 2108970 2273001 2802330 3788335 4546002 6819003 7576670 11365005 13638006 20457009 22730010 34095015 40914018 68190030 102285045 204570090