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5203140320 = 25577875903
BaseRepresentation
bin1001101100010000…
…11001111011100000
3111102121121220200202
410312020121323200
541124000442240
62220145204332
7242636651210
oct46610317340
914377556622
105203140320
112230045374
1210126306a8
1364bc75371
14375060240
15206bd1315
hex136219ee0

5203140320 has 96 divisors (see below), whose sum is σ = 14068712448. Its totient is φ = 1781365248.

The previous prime is 5203140287. The next prime is 5203140323. The reversal of 5203140320 is 230413025.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5203140292 and 5203140301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5203140323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878489 + ... + 884391.

It is an arithmetic number, because the mean of its divisors is an integer number (146549088).

Almost surely, 25203140320 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 5203140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034356224).

5203140320 is an abundant number, since it is smaller than the sum of its proper divisors (8865572128).

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

5203140320 is a wasteful number, since it uses less digits than its factorization.

5203140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5203140320 is about 72132.7964243727. The cubic root of 5203140320 is about 1732.8268928067.

Adding to 5203140320 its reverse (230413025), we get a palindrome (5433553345).

The spelling of 5203140320 in words is "five billion, two hundred three million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 787 1120 1574 3148 3935 5509 5903 6296 7870 11018 11806 12592 15740 22036 23612 25184 27545 29515 31480 41321 44072 47224 55090 59030 62960 82642 88144 94448 110180 118060 125920 165284 176288 188896 206605 220360 236120 330568 413210 440720 472240 661136 826420 881440 944480 1322272 1652840 3305680 4645661 6611360 9291322 18582644 23228305 32519627 37165288 46456610 65039254 74330576 92913220 130078508 148661152 162598135 185826440 260157016 325196270 371652880 520314032 650392540 743305760 1040628064 1300785080 2601570160 5203140320