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1132142440 = 2351113197927
BaseRepresentation
bin100001101111011…
…0001111101101000
32220220022210110111
41003132301331220
54304312024230
6304201424104
740025023552
oct10336617550
92826283414
101132142440
11531079410
1227719b034
13150725b90
14aa5084d2
15695d492a
hex437b1f68

1132142440 has 64 divisors (see below), whose sum is σ = 2992671360. Its totient is φ = 380017920.

The previous prime is 1132142393. The next prime is 1132142441. The reversal of 1132142440 is 442412311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1132142441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 93244 + ... + 104683.

It is an arithmetic number, because the mean of its divisors is an integer number (46760490).

Almost surely, 21132142440 is an apocalyptic number.

1132142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132142440 is an abundant number, since it is smaller than the sum of its proper divisors (1860528920).

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

1132142440 is a wasteful number, since it uses less digits than its factorization.

1132142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197962 (or 197958 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1132142440 is about 33647.3244107165. The cubic root of 1132142440 is about 1042.2382882739.

Adding to 1132142440 its reverse (442412311), we get a palindrome (1574554751).

The spelling of 1132142440 in words is "one billion, one hundred thirty-two million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 197927 395854 791708 989635 1583416 1979270 2177197 2573051 3958540 4354394 5146102 7917080 8708788 10292204 10885985 12865255 17417576 20584408 21771970 25730510 28303561 43543940 51461020 56607122 87087880 102922040 113214244 141517805 226428488 283035610 566071220 1132142440