Search a number
-
+
3003005200 = 2452132712131
BaseRepresentation
bin1011001011111110…
…0011100100010000
321202021200110200211
42302333203210100
522122232131300
61213552453504
7134263060126
oct26277434420
97667613624
103003005200
111301133288
126b984a294
1338b1c7370
14206b89916
151289894ba
hexb2fe3910

3003005200 has 120 divisors (see below), whose sum is σ = 7802028416. Its totient is φ = 1104192000.

The previous prime is 3003005197. The next prime is 3003005207. The reversal of 3003005200 is 25003003.

3003005200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (3003005207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1408135 + ... + 1410265.

Almost surely, 23003005200 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 3003005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901014208).

3003005200 is an abundant number, since it is smaller than the sum of its proper divisors (4799023216).

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

3003005200 is a wasteful number, since it uses less digits than its factorization.

3003005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 3003005200 is about 54799.6824808319. The cubic root of 3003005200 is about 1442.7309927474.

Adding to 3003005200 its reverse (25003003), we get a palindrome (3028008203).

The spelling of 3003005200 in words is "three billion, three million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 271 325 400 520 542 650 1040 1084 1300 1355 2131 2168 2600 2710 3523 4262 4336 5200 5420 6775 7046 8524 10655 10840 13550 14092 17048 17615 21310 21680 27100 27703 28184 34096 35230 42620 53275 54200 55406 56368 70460 85240 88075 106550 108400 110812 138515 140920 170480 176150 213100 221624 277030 281840 352300 426200 443248 554060 577501 692575 704600 852400 1108120 1155002 1385150 1409200 2216240 2310004 2770300 2887505 4620008 5540600 5775010 7507513 9240016 11081200 11550020 14437525 15015026 23100040 28875050 30030052 37537565 46200080 57750100 60060104 75075130 115500200 120120208 150150260 187687825 231000400 300300520 375375650 600601040 750751300 1501502600 3003005200