Search a number
-
+
202134140 = 22513279757
BaseRepresentation
bin11000000110001…
…01001001111100
3112002100110220122
430003011021330
5403221243030
632020234112
75003053235
oct1403051174
9462313818
10202134140
11a411040a
125783b938
1332b53800
141cbba08c
1512b2b8e5
hexc0c527c

202134140 has 72 divisors (see below), whose sum is σ = 466079040. Its totient is φ = 73592064.

The previous prime is 202134091. The next prime is 202134151. The reversal of 202134140 is 41431202.

202134140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266642 + ... + 267398.

It is an arithmetic number, because the mean of its divisors is an integer number (6473320).

Almost surely, 2202134140 is an apocalyptic number.

202134140 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 202134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233039520).

202134140 is an abundant number, since it is smaller than the sum of its proper divisors (263944900).

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

202134140 is a wasteful number, since it uses less digits than its factorization.

202134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 202134140 is about 14217.3886491156. The cubic root of 202134140 is about 586.8762802680.

Adding to 202134140 its reverse (41431202), we get a palindrome (243565342).

The spelling of 202134140 in words is "two hundred two million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 169 260 316 338 395 676 757 790 845 1027 1514 1580 1690 2054 3028 3380 3785 4108 5135 7570 9841 10270 13351 15140 19682 20540 26702 39364 49205 53404 59803 66755 98410 119606 127933 133510 196820 239212 255866 267020 299015 511732 598030 639665 777439 1196060 1279330 1554878 2558660 3109756 3887195 7774390 10106707 15548780 20213414 40426828 50533535 101067070 202134140