Search a number
-
+
204013440 = 2732535419
BaseRepresentation
bin11000010100011…
…11111110000000
3112012212221211100
430022033332000
5404211412230
632124414400
75025041241
oct1412177600
9465787740
10204013440
11a5184354
12583a7400
1333361017
141d148cc8
1512d9d660
hexc28ff80

204013440 has 96 divisors (see below), whose sum is σ = 704503800. Its totient is φ = 54402048.

The previous prime is 204013423. The next prime is 204013441. The reversal of 204013440 is 44310402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204013441) 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 11 ways as a sum of consecutive naturals, for example, 11950 + ... + 23469.

Almost surely, 2204013440 is an apocalyptic number.

204013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204013440 is an abundant number, since it is smaller than the sum of its proper divisors (500490360).

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

204013440 is a wasteful number, since it uses less digits than its factorization.

204013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35444 (or 35429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204013440 is about 14283.3273434449. The cubic root of 204013440 is about 588.6894592028.

Adding to 204013440 its reverse (44310402), we get a palindrome (248323842).

The spelling of 204013440 in words is "two hundred four million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 35419 70838 106257 141676 177095 212514 283352 318771 354190 425028 531285 566704 637542 708380 850056 1062570 1133408 1275084 1416760 1593855 1700112 2125140 2266816 2550168 2833520 3187710 3400224 4250280 4533632 5100336 5667040 6375420 6800448 8500560 10200672 11334080 12750840 13600896 17001120 20401344 22668160 25501680 34002240 40802688 51003360 68004480 102006720 204013440