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201683430 = 232513223773
BaseRepresentation
bin11000000010101…
…11000111100110
3112001111120122200
430001113013212
5403112332210
632002435330
74666165224
oct1401270746
9461446580
10201683430
11a3932823
1257662b46
1332a26610
141caddb14
1512a8d0c0
hexc0571e6

201683430 has 96 divisors (see below), whose sum is σ = 567979776. Its totient is φ = 49358592.

The previous prime is 201683401. The next prime is 201683437. The reversal of 201683430 is 34386102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201683394 and 201683403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201683437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260524 + ... + 261296.

It is an arithmetic number, because the mean of its divisors is an integer number (5916456).

Almost surely, 2201683430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201683430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283989888).

201683430 is an abundant number, since it is smaller than the sum of its proper divisors (366296346).

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

201683430 is a wasteful number, since it uses less digits than its factorization.

201683430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 201683430 is about 14201.5291430184. The cubic root of 201683430 is about 586.4397585098.

The spelling of 201683430 in words is "two hundred one million, six hundred eighty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 223 234 390 446 585 669 773 1115 1170 1338 1546 2007 2230 2319 2899 3345 3865 4014 4638 5798 6690 6957 7730 8697 10035 10049 11595 13914 14495 17394 20070 20098 23190 26091 28990 30147 34785 43485 50245 52182 60294 69570 86970 90441 100490 130455 150735 172379 180882 260910 301470 344758 452205 517137 861895 904410 1034274 1551411 1723790 2240927 2585685 3102822 4481854 5171370 6722781 7757055 11204635 13445562 15514110 20168343 22409270 33613905 40336686 67227810 100841715 201683430