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5208300960 = 253514972823
BaseRepresentation
bin1001101100111000…
…00101110110100000
3111102222100002202120
410312130011312200
541131311112320
62220451544240
7243031553622
oct46634056640
914388302676
105208300960
112232a4a665
1210142bb080
136500612b5
14375a04c12
152073a0440
hex136705da0

5208300960 has 96 divisors (see below), whose sum is σ = 16516483200. Its totient is φ = 1379539968.

The previous prime is 5208300947. The next prime is 5208300961. The reversal of 5208300960 is 690038025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5208300961) 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, 35109 + ... + 107931.

It is an arithmetic number, because the mean of its divisors is an integer number (172046700).

Almost surely, 25208300960 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 5208300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258241600).

5208300960 is an abundant number, since it is smaller than the sum of its proper divisors (11308182240).

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

5208300960 is a wasteful number, since it uses less digits than its factorization.

5208300960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72990 (or 72982 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5208300960 is about 72168.5593593221. The cubic root of 5208300960 is about 1733.3995944426.

Adding to 5208300960 its reverse (690038025), we get a palindrome (5898338985).

The spelling of 5208300960 in words is "five billion, two hundred eight million, three hundred thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 149 160 240 298 447 480 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 4768 5960 7152 8940 11920 14304 17880 23840 35760 71520 72823 145646 218469 291292 364115 436938 582584 728230 873876 1092345 1165168 1456460 1747752 2184690 2330336 2912920 3495504 4369380 5825840 6991008 8738760 10850627 11651680 17477520 21701254 32551881 34955040 43402508 54253135 65103762 86805016 108506270 130207524 162759405 173610032 217012540 260415048 325518810 347220064 434025080 520830096 651037620 868050160 1041660192 1302075240 1736100320 2604150480 5208300960