Search a number
-
+
1132143240 = 233583197577
BaseRepresentation
bin100001101111011…
…0010001010001000
32220220022211120010
41003132302022020
54304312040430
6304201431520
740025026104
oct10336621210
92826284503
101132143240
11531079a78
1227719b5a0
13150726357
14aa508904
15695d4cb0
hex437b2288

1132143240 has 128 divisors (see below), whose sum is σ = 3460786560. Its totient is φ = 296239104.

The previous prime is 1132143217. The next prime is 1132143251. The reversal of 1132143240 is 423412311.

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 31 ways as a sum of consecutive naturals, for example, 1961832 + ... + 1962408.

It is an arithmetic number, because the mean of its divisors is an integer number (27037395).

Almost surely, 21132143240 is an apocalyptic number.

1132143240 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 1132143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730393280).

1132143240 is an abundant number, since it is smaller than the sum of its proper divisors (2328643320).

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

1132143240 is a wasteful number, since it uses less digits than its factorization.

1132143240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1132143240 is about 33647.3362987325. The cubic root of 1132143240 is about 1042.2385337643.

Adding to 1132143240 its reverse (423412311), we get a palindrome (1555555551).

The spelling of 1132143240 in words is "one billion, one hundred thirty-two million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 197 249 332 394 415 498 577 591 664 788 830 985 996 1154 1182 1245 1576 1660 1731 1970 1992 2308 2364 2490 2885 2955 3320 3462 3940 4616 4728 4980 5770 5910 6924 7880 8655 9960 11540 11820 13848 16351 17310 23080 23640 32702 34620 47891 49053 65404 69240 81755 95782 98106 113669 130808 143673 163510 191564 196212 227338 239455 245265 287346 327020 341007 383128 392424 454676 478910 490530 568345 574692 654040 682014 718365 909352 957820 981060 1136690 1149384 1364028 1436730 1705035 1915640 1962120 2273380 2728056 2873460 3410070 4546760 5746920 6820140 9434527 13640280 18869054 28303581 37738108 47172635 56607162 75476216 94345270 113214324 141517905 188690540 226428648 283035810 377381080 566071620 1132143240