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5630239200 = 253524315443
BaseRepresentation
bin1010011111001011…
…01010000111100000
3112112101021210012210
411033211222013200
543012320123300
62330403322120
7256344146355
oct51745520740
915471253183
105630239200
11242a13a053
121111680340
136b95b42b1
143b5a7a62c
1522e449050
hex14f96a1e0

5630239200 has 144 divisors (see below), whose sum is σ = 18372324096. Its totient is φ = 1497638400.

The previous prime is 5630239177. The next prime is 5630239217. The reversal of 5630239200 is 29320365.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031679 + ... + 1037121.

It is an arithmetic number, because the mean of its divisors is an integer number (127585584).

Almost surely, 25630239200 is an apocalyptic number.

5630239200 is a gapful number since it is divisible by the number (50) 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 5630239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186162048).

5630239200 is an abundant number, since it is smaller than the sum of its proper divisors (12742084896).

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

5630239200 is a wasteful number, since it uses less digits than its factorization.

5630239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 5630239200 is about 75034.9198706842. The cubic root of 5630239200 is about 1778.9986372133.

Adding to 5630239200 its reverse (29320365), we get a palindrome (5659559565).

The spelling of 5630239200 in words is "five billion, six hundred thirty million, two hundred thirty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 431 480 600 800 862 1200 1293 1724 2155 2400 2586 3448 4310 5172 5443 6465 6896 8620 10344 10775 10886 12930 13792 16329 17240 20688 21550 21772 25860 27215 32325 32658 34480 41376 43100 43544 51720 54430 64650 65316 68960 81645 86200 87088 103440 108860 129300 130632 136075 163290 172400 174176 206880 217720 258600 261264 272150 326580 344800 408225 435440 517200 522528 544300 653160 816450 870880 1034400 1088600 1306320 1632900 2177200 2345933 2612640 3265800 4354400 4691866 6531600 7037799 9383732 11729665 13063200 14075598 18767464 23459330 28151196 35188995 37534928 46918660 56302392 58648325 70377990 75069856 93837320 112604784 117296650 140755980 175944975 187674640 225209568 234593300 281511960 351889950 375349280 469186600 563023920 703779900 938373200 1126047840 1407559800 1876746400 2815119600 5630239200