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204020520 = 233511214051
BaseRepresentation
bin11000010100100…
…01101100101000
3112012220022112120
430022101230220
5404212124040
632124511240
75025101004
oct1412215450
9465808476
10204020520
11a5189700
12583ab520
1333364302
141d14b704
1512da07d0
hexc291b28

204020520 has 96 divisors (see below), whose sum is σ = 672809760. Its totient is φ = 49456000.

The previous prime is 204020501. The next prime is 204020533. The reversal of 204020520 is 25020402.

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 204020520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7495 + ... + 21545.

It is an arithmetic number, because the mean of its divisors is an integer number (7008435).

Almost surely, 2204020520 is an apocalyptic number.

204020520 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 204020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336404880).

204020520 is an abundant number, since it is smaller than the sum of its proper divisors (468789240).

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

204020520 is a wasteful number, since it uses less digits than its factorization.

204020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14087 (or 14072 counting only the distinct ones).

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

The square root of 204020520 is about 14283.5751827055. The cubic root of 204020520 is about 588.6962690044.

Adding to 204020520 its reverse (25020402), we get a palindrome (229040922).

The spelling of 204020520 in words is "two hundred four million, twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14051 14520 28102 42153 56204 70255 84306 112408 140510 154561 168612 210765 281020 309122 337224 421530 463683 562040 618244 772805 843060 927366 1236488 1545610 1686120 1700171 1854732 2318415 3091220 3400342 3709464 4636830 5100513 6182440 6800684 8500855 9273660 10201026 13601368 17001710 18547320 20402052 25502565 34003420 40804104 51005130 68006840 102010260 204020520