Search a number
-
+
201686940 = 2232572131759
BaseRepresentation
bin11000000010101…
…11111110011100
3112001111202110200
430001113332130
5403112440230
632002503500
74666211400
oct1401277634
9461452420
10201686940
11a3935424
1257664b90
1332a280b0
141cb01100
1512a8e160
hexc057f9c

201686940 has 216 divisors, whose sum is σ = 766846080. Its totient is φ = 42529536.

The previous prime is 201686939. The next prime is 201686983. The reversal of 201686940 is 49686102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 201686895 and 201686904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113781 + ... + 115539.

Almost surely, 2201686940 is an apocalyptic number.

201686940 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 201686940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383423040).

201686940 is an abundant number, since it is smaller than the sum of its proper divisors (565159140).

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

201686940 is a wasteful number, since it uses less digits than its factorization.

201686940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 201686940 is about 14201.6527207223. The cubic root of 201686940 is about 586.4431605272.

The spelling of 201686940 in words is "two hundred one million, six hundred eighty-six thousand, nine hundred forty".