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201367940 = 22531210477
BaseRepresentation
bin11000000000010…
…10000110000100
3112000220112212212
430000022012010
5403022233230
631552002552
74663412354
oct1400120604
9460815785
10201367940
11a3737794
1257530458
1332945b37
141ca5ab64
1512a29895
hexc00a184

201367940 has 36 divisors (see below), whose sum is σ = 436995468. Its totient is φ = 77941440.

The previous prime is 201367939. The next prime is 201367973. The reversal of 201367940 is 49763102.

It can be written as a sum of positive squares in 2 ways, for example, as 113720896 + 87647044 = 10664^2 + 9362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201367897 and 201367906.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13982 + ... + 24458.

It is an arithmetic number, because the mean of its divisors is an integer number (12138763).

Almost surely, 2201367940 is an apocalyptic number.

201367940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201367940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218497734).

201367940 is an abundant number, since it is smaller than the sum of its proper divisors (235627528).

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

201367940 is a wasteful number, since it uses less digits than its factorization.

201367940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10548 (or 10515 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 201367940 is about 14190.4171890752. The cubic root of 201367940 is about 586.1338129730.

The spelling of 201367940 in words is "two hundred one million, three hundred sixty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 3844 4805 9610 10477 19220 20954 41908 52385 104770 209540 324787 649574 1299148 1623935 3247870 6495740 10068397 20136794 40273588 50341985 100683970 201367940