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1005112140 = 223553316073
BaseRepresentation
bin111011111010001…
…100101101001100
32121001021222122120
4323322030231030
54024302042030
6243423012540
733623212044
oct7372145514
92531258576
101005112140
114763a569a
1224073a150
1313030a016
14976bc724
155d391010
hex3be8cb4c

1005112140 has 48 divisors (see below), whose sum is σ = 2867423328. Its totient is φ = 262971904.

The previous prime is 1005112133. The next prime is 1005112153. The reversal of 1005112140 is 412115001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 154857 + ... + 161216.

It is an arithmetic number, because the mean of its divisors is an integer number (59737986).

Almost surely, 21005112140 is an apocalyptic number.

1005112140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005112140 is an abundant number, since it is smaller than the sum of its proper divisors (1862311188).

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

1005112140 is a wasteful number, since it uses less digits than its factorization.

1005112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316138 (or 316136 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1005112140 is about 31703.5035918745. The cubic root of 1005112140 is about 1001.7011511106.

Adding to 1005112140 its reverse (412115001), we get a palindrome (1417227141).

The spelling of 1005112140 in words is "one billion, five million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 316073 632146 948219 1264292 1580365 1896438 3160730 3792876 4741095 6321460 9482190 16751869 18964380 33503738 50255607 67007476 83759345 100511214 167518690 201022428 251278035 335037380 502556070 1005112140