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675287620 = 225722923761
BaseRepresentation
bin101000010000000…
…001001001000100
31202001200011110121
4220100001021010
52340333200440
6151001431324
722506564400
oct5020011104
91661604417
10675287620
11317200647
1216a19b544
13a9b99097
1465984100
153e44034a
hex28401244

675287620 has 72 divisors (see below), whose sum is σ = 1706586840. Its totient is φ = 223534080.

The previous prime is 675287611. The next prime is 675287621. The reversal of 675287620 is 26782576.

It can be written as a sum of positive squares in 4 ways, for example, as 84603204 + 590684416 = 9198^2 + 24304^2 .

It is not an unprimeable number, because it can be changed into a prime (675287621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16540 + ... + 40300.

It is an arithmetic number, because the mean of its divisors is an integer number (23702595).

Almost surely, 2675287620 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 675287620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853293420).

675287620 is an abundant number, since it is smaller than the sum of its proper divisors (1031299220).

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

675287620 is a wasteful number, since it uses less digits than its factorization.

675287620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23813 (or 23804 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 675287620 is about 25986.2967734920. The cubic root of 675287620 is about 877.3298972503.

The spelling of 675287620 in words is "six hundred seventy-five million, two hundred eighty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 7105 14210 23761 28420 47522 95044 118805 166327 237610 332654 475220 665308 689069 831635 1164289 1378138 1663270 2328578 2756276 3326540 3445345 4657156 4823483 5821445 6890690 9646966 11642890 13781380 19293932 23285780 24117415 33764381 48234830 67528762 96469660 135057524 168821905 337643810 675287620