Search a number
-
+
204260700 = 223527234229
BaseRepresentation
bin11000010110011…
…00010101011100
3112020100112000010
430023030111130
5404242320300
632134003220
75030121150
oct1413142534
9466315003
10204260700
11a53330a6
12584a6510
1333419727
141d1b1060
1512deba50
hexc2cc55c

204260700 has 144 divisors (see below), whose sum is σ = 704954880. Its totient is φ = 44647680.

The previous prime is 204260687. The next prime is 204260701. The reversal of 204260700 is 7062402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204260701) 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 47 ways as a sum of consecutive naturals, for example, 46186 + ... + 50414.

It is an arithmetic number, because the mean of its divisors is an integer number (4895520).

Almost surely, 2204260700 is an apocalyptic number.

204260700 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 204260700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352477440).

204260700 is an abundant number, since it is smaller than the sum of its proper divisors (500694180).

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

204260700 is a wasteful number, since it uses less digits than its factorization.

204260700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 204260700 is about 14291.9802686682. The cubic root of 204260700 is about 588.9271896031.

The spelling of 204260700 in words is "two hundred four million, two hundred sixty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 50 60 69 70 75 84 92 100 105 115 138 140 150 161 175 210 230 276 300 322 345 350 420 460 483 525 575 644 690 700 805 966 1050 1150 1380 1610 1725 1932 2100 2300 2415 3220 3450 4025 4229 4830 6900 8050 8458 9660 12075 12687 16100 16916 21145 24150 25374 29603 42290 48300 50748 59206 63435 84580 88809 97267 105725 118412 126870 148015 177618 194534 211450 253740 291801 296030 317175 355236 389068 422900 444045 486335 583602 592060 634350 680869 740075 888090 972670 1167204 1268700 1361738 1459005 1480150 1776180 1945340 2042607 2220225 2431675 2723476 2918010 2960300 3404345 4085214 4440450 4863350 5836020 6808690 7295025 8170428 8880900 9726700 10213035 13617380 14590050 17021725 20426070 29180100 34043450 40852140 51065175 68086900 102130350 204260700