Search a number
-
+
1132115200 = 2852237691
BaseRepresentation
bin100001101111010…
…1011010100000000
32220220021102002121
41003132223110000
54304310141300
6304201054024
740024551256
oct10336532400
92826242077
101132115200
1153105a9a7
12277187314
13150716668
14aa4dc5d6
15695cb81a
hex437ab500

1132115200 has 108 divisors (see below), whose sum is σ = 2924375328. Its totient is φ = 433100800.

The previous prime is 1132115189. The next prime is 1132115213. The reversal of 1132115200 is 25112311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 143355 + ... + 151045.

Almost surely, 21132115200 is an apocalyptic number.

1132115200 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 1132115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462187664).

1132115200 is an abundant number, since it is smaller than the sum of its proper divisors (1792260128).

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

1132115200 is an equidigital number, since it uses as much as digits as its factorization.

1132115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7721 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1132115200 is about 33646.9196212670. The cubic root of 1132115200 is about 1042.2299292554.

Adding to 1132115200 its reverse (25112311), we get a palindrome (1157227511).

The spelling of 1132115200 in words is "one billion, one hundred thirty-two million, one hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 256 320 368 400 460 575 640 736 800 920 1150 1280 1472 1600 1840 2300 2944 3200 3680 4600 5888 6400 7360 7691 9200 14720 15382 18400 29440 30764 36800 38455 61528 73600 76910 123056 147200 153820 176893 192275 246112 307640 353786 384550 492224 615280 707572 769100 884465 984448 1230560 1415144 1538200 1768930 1968896 2461120 2830288 3076400 3537860 4422325 4922240 5660576 6152800 7075720 8844650 9844480 11321152 12305600 14151440 17689300 22642304 24611200 28302880 35378600 45284608 49222400 56605760 70757200 113211520 141514400 226423040 283028800 566057600 1132115200