Search a number
-
+
204710100 = 223527432267
BaseRepresentation
bin11000011001110…
…10000011010100
3112021012100110120
430030322003110
5404401210400
632151351540
75034002310
oct1414720324
9467170416
10204710100
11a560a801
12586825b0
133354614a
141d28ab40
1512e89ca0
hexc33a0d4

204710100 has 144 divisors (see below), whose sum is σ = 692955648. Its totient is φ = 45682560.

The previous prime is 204710087. The next prime is 204710113. The reversal of 204710100 is 1017402.

It is an interprime number because it is at equal distance from previous prime (204710087) and next prime (204710113).

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 204710100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89167 + ... + 91433.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2204710100 is an apocalyptic number.

204710100 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 204710100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346477824).

204710100 is an abundant number, since it is smaller than the sum of its proper divisors (488245548).

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

204710100 is a wasteful number, since it uses less digits than its factorization.

204710100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 204710100 is about 14307.6937344912. The cubic root of 204710100 is about 589.3587786094.

Adding to 204710100 its reverse (1017402), we get a palindrome (205727502).

The spelling of 204710100 in words is "two hundred four million, seven hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2267 2580 3010 3225 3612 4300 4515 4534 6020 6450 6801 7525 9030 9068 11335 12900 13602 15050 15869 18060 22575 22670 27204 30100 31738 34005 45150 45340 47607 56675 63476 68010 79345 90300 95214 97481 113350 136020 158690 170025 190428 194962 226700 238035 292443 317380 340050 389924 396725 476070 487405 584886 680100 682367 793450 952140 974810 1169772 1190175 1364734 1462215 1586900 1949620 2047101 2380350 2437025 2729468 2924430 3411835 4094202 4760700 4874050 5848860 6823670 7311075 8188404 9748100 10235505 13647340 14622150 17059175 20471010 29244300 34118350 40942020 51177525 68236700 102355050 204710100