[go: up one dir, main page]

Search a number
-
+
1135530 = 2325113137
BaseRepresentation
bin100010101001110101010
32010200122200
410111032222
5242314110
640201030
712436404
oct4251652
92120580
101135530
11706160
12469176
13309b16
14217b74
151766c0
hex1153aa

1135530 has 96 divisors (see below), whose sum is σ = 3414528. Its totient is φ = 259200.

The previous prime is 1135513. The next prime is 1135531. The reversal of 1135530 is 355311.

Added to its reverse (355311) it gives a square (1490841 = 12212).

It is a happy number.

1135530 is a `hidden beast` number, since 1 + 135 + 530 = 666.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1135531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30672 + ... + 30708.

It is an arithmetic number, because the mean of its divisors is an integer number (35568).

21135530 is an apocalyptic number.

1135530 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 1135530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707264).

1135530 is an abundant number, since it is smaller than the sum of its proper divisors (2278998).

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

1135530 is a wasteful number, since it uses less digits than its factorization.

1135530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 1135530 is about 1065.6124999267. The cubic root of 1135530 is about 104.3276770425.

Adding to 1135530 its reverse (355311), we get a square (1490841 = 12212).

It can be divided in two parts, 1 and 135530, that added together give a palindrome (135531).

The spelling of 1135530 in words is "one million, one hundred thirty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 37 45 55 62 66 74 90 93 99 110 111 155 165 185 186 198 222 279 310 330 333 341 370 407 465 495 555 558 666 682 814 930 990 1023 1110 1147 1221 1395 1665 1705 2035 2046 2294 2442 2790 3069 3330 3410 3441 3663 4070 5115 5735 6105 6138 6882 7326 10230 10323 11470 12210 12617 15345 17205 18315 20646 25234 30690 34410 36630 37851 51615 63085 75702 103230 113553 126170 189255 227106 378510 567765 1135530