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1316742480 = 243451711953
BaseRepresentation
bin100111001111011…
…1110010101010000
310101202200110010000
41032132332111100
510144041224410
6334354210000
744426061234
oct11636762520
93352613100
101316742480
116162a3129
12308b83900
1317ca4a781
14c6c3c5c4
157a8eadc0
hex4e7be550

1316742480 has 200 divisors, whose sum is σ = 4842661032. Its totient is φ = 330448896.

The previous prime is 1316742457. The next prime is 1316742481. The reversal of 1316742480 is 842476131.

1316742480 is a `hidden beast` number, since 13 + 167 + 4 + 2 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 554319936 + 762422544 = 23544^2 + 27612^2 .

It is a super-3 number, since 3×13167424803 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316742481) 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 39 ways as a sum of consecutive naturals, for example, 104184 + ... + 116136.

Almost surely, 21316742480 is an apocalyptic number.

1316742480 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 1316742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421330516).

1316742480 is an abundant number, since it is smaller than the sum of its proper divisors (3525918552).

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

1316742480 is a wasteful number, since it uses less digits than its factorization.

1316742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1316742480 is about 36286.9464132765. The cubic root of 1316742480 is about 1096.0582001523.

The spelling of 1316742480 in words is "one billion, three hundred sixteen million, seven hundred forty-two thousand, four hundred eighty".