Search a number
-
+
201134140 = 225172920399
BaseRepresentation
bin10111111110100…
…01000000111100
3112000110200011121
423333101000330
5402442243030
631543000324
74661416624
oct1377210074
9460420147
10201134140
11a3598069
12574390a4
13328935ac
141c9d9884
15129d047a
hexbfd103c

201134140 has 48 divisors (see below), whose sum is σ = 462672000. Its totient is φ = 73106432.

The previous prime is 201134137. The next prime is 201134147. The reversal of 201134140 is 41431102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201134147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340 + ... + 20059.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2201134140 is an apocalyptic number.

201134140 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 201134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

201134140 is an abundant number, since it is smaller than the sum of its proper divisors (261537860).

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

201134140 is a wasteful number, since it uses less digits than its factorization.

201134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20454 (or 20452 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 201134140 is about 14182.1768427840. The cubic root of 201134140 is about 585.9068798671.

Adding to 201134140 its reverse (41431102), we get a palindrome (242565242).

It can be divided in two parts, 201134 and 140, that multiplied together give a triangular number (28158760 = T7504).

The spelling of 201134140 in words is "two hundred one million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 20399 40798 81596 101995 203990 346783 407980 591571 693566 1183142 1387132 1733915 2366284 2957855 3467830 5915710 6935660 10056707 11831420 20113414 40226828 50283535 100567070 201134140