Search a number
-
+
115147536 = 2437973533
BaseRepresentation
bin1101101110100…
…00001100010000
322000200002201120
412313100030100
5213434210121
615232002240
72565511050
oct667201420
9260602646
10115147536
1159aa8059
1232690380
131ab1834a
1411415560
15a197bc6
hex6dd0310

115147536 has 80 divisors (see below), whose sum is σ = 343561344. Its totient is φ = 32550912.

The previous prime is 115147531. The next prime is 115147537. The reversal of 115147536 is 635741511.

It is a junction number, because it is equal to n+sod(n) for n = 115147497 and 115147506.

It is not an unprimeable number, because it can be changed into a prime (115147531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30826 + ... + 34358.

Almost surely, 2115147536 is an apocalyptic number.

115147536 is a gapful number since it is divisible by the number (16) 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 115147536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171780672).

115147536 is an abundant number, since it is smaller than the sum of its proper divisors (228413808).

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

115147536 is a wasteful number, since it uses less digits than its factorization.

115147536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3642 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 115147536 is about 10730.6819913741. The cubic root of 115147536 is about 486.5022834657.

It can be divided in two parts, 1151475 and 36, that added together give a palindrome (1151511).

The spelling of 115147536 in words is "one hundred fifteen million, one hundred forty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 3533 4074 4656 5432 7066 8148 10599 10864 14132 16296 21198 24731 28264 32592 42396 49462 56528 74193 84792 98924 148386 169584 197848 296772 342701 395696 593544 685402 1028103 1187088 1370804 2056206 2398907 2741608 4112412 4797814 5483216 7196721 8224824 9595628 14393442 16449648 19191256 28786884 38382512 57573768 115147536