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204200520 = 23355397331
BaseRepresentation
bin11000010101111…
…01101001001000
3112020020110110020
430022331221020
5404233404040
632132420440
75026450536
oct1412755110
9466213406
10204200520
11a52a1967
1258477720
13333c8214
141d197156
1512dd8cd0
hexc2bda48

204200520 has 128 divisors (see below), whose sum is σ = 632499840. Its totient is φ = 52715520.

The previous prime is 204200519. The next prime is 204200527. The reversal of 204200520 is 25002402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204200520.

It is not an unprimeable number, because it can be changed into a prime (204200527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616755 + ... + 617085.

It is an arithmetic number, because the mean of its divisors is an integer number (4941405).

Almost surely, 2204200520 is an apocalyptic number.

204200520 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 204200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316249920).

204200520 is an abundant number, since it is smaller than the sum of its proper divisors (428299320).

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

204200520 is a wasteful number, since it uses less digits than its factorization.

204200520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 204200520 is about 14289.8747370297. The cubic root of 204200520 is about 588.8693466611.

Adding to 204200520 its reverse (25002402), we get a palindrome (229202922).

The spelling of 204200520 in words is "two hundred four million, two hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 97 106 120 159 194 212 265 291 318 331 388 424 485 530 582 636 662 776 795 970 993 1060 1164 1272 1324 1455 1590 1655 1940 1986 2120 2328 2648 2910 3180 3310 3880 3972 4965 5141 5820 6360 6620 7944 9930 10282 11640 13240 15423 17543 19860 20564 25705 30846 32107 35086 39720 41128 51410 52629 61692 64214 70172 77115 87715 96321 102820 105258 123384 128428 140344 154230 160535 175430 192642 205640 210516 256856 263145 308460 321070 350860 385284 421032 481605 526290 616920 642140 701720 770568 963210 1052580 1284280 1701671 1926420 2105160 3403342 3852840 5105013 6806684 8508355 10210026 13613368 17016710 20420052 25525065 34033420 40840104 51050130 68066840 102100260 204200520