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5341055200 = 2552135031021
BaseRepresentation
bin1001111100101101…
…00000100011100000
3111210020010201100021
410332112200203200
541414302231300
62241553203224
7246233135335
oct47626404340
914706121307
105341055200
1122a0982908
121050860514
136717025c0
143894c098c
15213d74d1a
hex13e5a08e0

5341055200 has 144 divisors (see below), whose sum is σ = 14083536096. Its totient is φ = 1966233600.

The previous prime is 5341055113. The next prime is 5341055201. The reversal of 5341055200 is 25501435.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5341055201) 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, 5230690 + ... + 5231710.

It is an arithmetic number, because the mean of its divisors is an integer number (97802334).

Almost surely, 25341055200 is an apocalyptic number.

5341055200 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 5341055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041768048).

5341055200 is an abundant number, since it is smaller than the sum of its proper divisors (8742480896).

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

5341055200 is a wasteful number, since it uses less digits than its factorization.

5341055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 5341055200 is about 73082.5232186191. The cubic root of 5341055200 is about 1748.0037318368.

Adding to 5341055200 its reverse (25501435), we get a palindrome (5366556635).

The spelling of 5341055200 in words is "five billion, three hundred forty-one million, fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 503 520 650 800 1006 1021 1040 1300 2012 2042 2080 2515 2600 4024 4084 5030 5105 5200 6539 8048 8168 10060 10210 10400 12575 13078 13273 16096 16336 20120 20420 25150 25525 26156 26546 32672 32695 40240 40840 50300 51050 52312 53092 65390 66365 80480 81680 100600 102100 104624 106184 130780 132730 163360 163475 201200 204200 209248 212368 261560 265460 326950 331825 402400 408400 424736 513563 523120 530920 653900 663650 816800 1027126 1046240 1061840 1307800 1327300 2054252 2123680 2567815 2615600 2654600 4108504 5135630 5231200 5309200 6676319 8217008 10271260 10618400 12839075 13352638 16434016 20542520 25678150 26705276 33381595 41085040 51356300 53410552 66763190 82170080 102712600 106821104 133526380 166907975 205425200 213642208 267052760 333815950 410850400 534105520 667631900 1068211040 1335263800 2670527600 5341055200