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1314410120 = 235191729487
BaseRepresentation
bin100111001011000…
…0100111010001000
310101121021221201022
41032112010322020
510142442110440
6334232212012
744400205322
oct11626047210
93347257638
101314410120
11614a4a861
1230823a008
1317c411c8a
14c67d2612
157a5d9cb5
hex4e584e88

1314410120 has 32 divisors (see below), whose sum is σ = 3113078400. Its totient is φ = 498091968.

The previous prime is 1314410113. The next prime is 1314410129. The reversal of 1314410120 is 210144131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1314410129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 863984 + ... + 865503.

It is an arithmetic number, because the mean of its divisors is an integer number (97283700).

Almost surely, 21314410120 is an apocalyptic number.

1314410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314410120 is an abundant number, since it is smaller than the sum of its proper divisors (1798668280).

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

1314410120 is a wasteful number, since it uses less digits than its factorization.

1314410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729517 (or 1729513 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1314410120 is about 36254.7944415632. The cubic root of 1314410120 is about 1095.4106644790.

Adding to 1314410120 its reverse (210144131), we get a palindrome (1524554251).

The spelling of 1314410120 in words is "one billion, three hundred fourteen million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1729487 3458974 6917948 8647435 13835896 17294870 32860253 34589740 65720506 69179480 131441012 164301265 262882024 328602530 657205060 1314410120