Search a number
-
+
253140210 = 232512722147
BaseRepresentation
bin11110001011010…
…01110011110010
3122122022212002100
433011221303302
51004300441320
641041401230
76162441051
oct1705516362
9578285070
10253140210
1111a988a94
1270939216
13405a1b0b
1425896398
1517354790
hexf169cf2

253140210 has 48 divisors (see below), whose sum is σ = 663376896. Its totient is φ = 66969504.

The previous prime is 253140193. The next prime is 253140233. The reversal of 253140210 is 12041352.

253140210 is a `hidden beast` number, since 253 + 1 + 402 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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, 357 + ... + 22503.

It is an arithmetic number, because the mean of its divisors is an integer number (13820352).

Almost surely, 2253140210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253140210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331688448).

253140210 is an abundant number, since it is smaller than the sum of its proper divisors (410236686).

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

253140210 is a wasteful number, since it uses less digits than its factorization.

253140210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22287 (or 22284 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 253140210 is about 15910.3805737009. The cubic root of 253140210 is about 632.5871689555.

Adding to 253140210 its reverse (12041352), we get a palindrome (265181562).

The spelling of 253140210 in words is "two hundred fifty-three million, one hundred forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3810 5715 11430 22147 44294 66441 110735 132882 199323 221470 332205 398646 664410 996615 1993230 2812669 5625338 8438007 14063345 16876014 25314021 28126690 42190035 50628042 84380070 126570105 253140210