Search a number
-
+
3032530000 = 24542910457
BaseRepresentation
bin1011010011000000…
…1011110001010000
321211100020111002221
42310300023301100
522202311430000
61220525350424
7135102036223
oct26460136120
97740214087
103032530000
111316869745
12707708414
13394363c66
1420aa735ba
1512b36c61a
hexb4c0bc50

3032530000 has 100 divisors (see below), whose sum is σ = 7595959140. Its totient is φ = 1171072000.

The previous prime is 3032529977. The next prime is 3032530031. The reversal of 3032530000 is 352303.

It can be written as a sum of positive squares in 10 ways, for example, as 1625379856 + 1407150144 = 40316^2 + 37512^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 284772 + ... + 295228.

Almost surely, 23032530000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3032530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797979570).

3032530000 is an abundant number, since it is smaller than the sum of its proper divisors (4563429140).

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

3032530000 is a wasteful number, since it uses less digits than its factorization.

3032530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10514 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 16.

The square root of 3032530000 is about 55068.4119981682. The cubic root of 3032530000 is about 1447.4437720957.

Adding to 3032530000 its reverse (352303), we get a palindrome (3032882303).

The spelling of 3032530000 in words is "three billion, thirty-two million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 10457 11600 14500 18125 20914 29000 36250 41828 52285 58000 72500 83656 104570 145000 167312 209140 261425 290000 303253 418280 522850 606506 836560 1045700 1213012 1307125 1516265 2091400 2426024 2614250 3032530 4182800 4852048 5228500 6065060 6535625 7581325 10457000 12130120 13071250 15162650 20914000 24260240 26142500 30325300 37906625 52285000 60650600 75813250 104570000 121301200 151626500 189533125 303253000 379066250 606506000 758132500 1516265000 3032530000