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5630628720 = 2435191234787
BaseRepresentation
bin1010011111001110…
…01001001101110000
3112112102000120112110
411033213021031300
543012420104340
62330415525320
7256350361113
oct51747111560
915472016473
105630628720
11242a385772
121111829840
136b96bc692
143b5b3c57a
1522e4c4680
hex14f9c9370

5630628720 has 80 divisors (see below), whose sum is σ = 18373645440. Its totient is φ = 1422473472.

The previous prime is 5630628713. The next prime is 5630628727. The reversal of 5630628720 is 278260365.

It is an interprime number because it is at equal distance from previous prime (5630628713) and next prime (5630628727).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5630628727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612834 + ... + 621953.

It is an arithmetic number, because the mean of its divisors is an integer number (229670568).

Almost surely, 25630628720 is an apocalyptic number.

It is an amenable number.

5630628720 is an abundant number, since it is smaller than the sum of its proper divisors (12743016720).

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

5630628720 is a wasteful number, since it uses less digits than its factorization.

5630628720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234822 (or 1234816 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 5630628720 is about 75037.5154172898. The cubic root of 5630628720 is about 1779.0396620878.

The spelling of 5630628720 in words is "five billion, six hundred thirty million, six hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 1234787 2469574 3704361 4939148 6173935 7408722 9878296 12347870 14817444 18521805 19756592 23460953 24695740 29634888 37043610 46921906 49391480 59269776 70382859 74087220 93843812 98782960 117304765 140765718 148174440 187687624 234609530 281531436 296348880 351914295 375375248 469219060 563062872 703828590 938438120 1126125744 1407657180 1876876240 2815314360 5630628720