Search a number
-
+
136202368 = 2717531181
BaseRepresentation
bin10000001111001…
…00100010000000
3100111021210112011
420013210202000
5234331433433
621303142304
73242462311
oct1007444200
9314253464
10136202368
116a978945
1239744994
13222aa923
1414136608
15be563cd
hex81e4880

136202368 has 64 divisors (see below), whose sum is σ = 292970520. Its totient is φ = 62832640.

The previous prime is 136202329. The next prime is 136202383. The reversal of 136202368 is 863202631.

It can be written as a sum of positive squares in 4 ways, for example, as 134374464 + 1827904 = 11592^2 + 1352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114738 + ... + 115918.

Almost surely, 2136202368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146485260).

136202368 is an abundant number, since it is smaller than the sum of its proper divisors (156768152).

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

136202368 is a wasteful number, since it uses less digits than its factorization.

136202368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 136202368 is about 11670.5770208675. The cubic root of 136202368 is about 514.5112628546.

Adding to 136202368 its reverse (863202631), we get a palindrome (999404999).

The spelling of 136202368 in words is "one hundred thirty-six million, two hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 272 424 544 848 901 1088 1181 1696 1802 2176 2362 3392 3604 4724 6784 7208 9448 14416 18896 20077 28832 37792 40154 57664 62593 75584 80308 115328 125186 151168 160616 250372 321232 500744 642464 1001488 1064081 1284928 2002976 2128162 2569856 4005952 4256324 8011904 8512648 17025296 34050592 68101184 136202368