Search a number
-
+
1135325250 = 232532831783
BaseRepresentation
bin100001110101011…
…1011000001000010
32221010022111110100
41003222323001002
54311120402000
6304353543230
740064051103
oct10352730102
92833274410
101135325250
11532952734
12278274b16
1315129b7b7
14aaad63aa
1569a12a00
hex43abb042

1135325250 has 96 divisors (see below), whose sum is σ = 3082495104. Its totient is φ = 301514400.

The previous prime is 1135325249. The next prime is 1135325267. The reversal of 1135325250 is 525235311.

It is a happy number.

1135325250 is a `hidden beast` number, since 1 + 135 + 3 + 2 + 525 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635859 + ... + 637641.

It is an arithmetic number, because the mean of its divisors is an integer number (32109324).

Almost surely, 21135325250 is an apocalyptic number.

1135325250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135325250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541247552).

1135325250 is an abundant number, since it is smaller than the sum of its proper divisors (1947169854).

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

1135325250 is a wasteful number, since it uses less digits than its factorization.

1135325250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1135325250 is about 33694.5878443408. The cubic root of 1135325250 is about 1043.2140614528.

The spelling of 1135325250 in words is "one billion, one hundred thirty-five million, three hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 283 375 450 566 750 849 1125 1415 1698 1783 2250 2547 2830 3566 4245 5094 5349 7075 8490 8915 10698 12735 14150 16047 17830 21225 25470 26745 32094 35375 42450 44575 53490 63675 70750 80235 89150 106125 127350 133725 160470 212250 222875 267450 318375 401175 445750 504589 636750 668625 802350 1009178 1337250 1513767 2005875 2522945 3027534 4011750 4541301 5045890 7568835 9082602 12614725 15137670 22706505 25229450 37844175 45413010 63073625 75688350 113532525 126147250 189220875 227065050 378441750 567662625 1135325250