Search a number
-
+
1131835180 = 2257173712853
BaseRepresentation
bin100001101110110…
…0110111100101100
32220212202011222111
41003131212330230
54304222211210
6304151053404
740022304010
oct10335467454
92825664874
101131835180
11530989583
12277071264
13150649078
14aa468540
156957388a
hex43766f2c

1131835180 has 96 divisors (see below), whose sum is σ = 2954157696. Its totient is φ = 355332096.

The previous prime is 1131835157. The next prime is 1131835213. The reversal of 1131835180 is 815381311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81634 + ... + 94486.

It is an arithmetic number, because the mean of its divisors is an integer number (30772476).

Almost surely, 21131835180 is an apocalyptic number.

1131835180 is a gapful number since it is divisible by the number (10) 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 1131835180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477078848).

1131835180 is an abundant number, since it is smaller than the sum of its proper divisors (1822322516).

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

1131835180 is a wasteful number, since it uses less digits than its factorization.

1131835180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12923 (or 12921 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 1131835180 is about 33642.7582103489. The cubic root of 1131835180 is about 1042.1439929802.

The spelling of 1131835180 in words is "one billion, one hundred thirty-one million, eight hundred thirty-five thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 37 68 70 74 85 119 140 148 170 185 238 259 340 370 476 518 595 629 740 1036 1190 1258 1295 2380 2516 2590 3145 4403 5180 6290 8806 12580 12853 17612 22015 25706 44030 51412 64265 88060 89971 128530 179942 218501 257060 359884 437002 449855 475561 874004 899710 951122 1092505 1529507 1799420 1902244 2185010 2377805 3059014 3328927 4370020 4755610 6118028 6657854 7647535 8084537 9511220 13315708 15295070 16169074 16644635 30590140 32338148 33289270 40422685 56591759 66578540 80845370 113183518 161690740 226367036 282958795 565917590 1131835180