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1317487120 = 24537445097
BaseRepresentation
bin100111010000111…
…0100001000010000
310101211002021120021
41032201310020100
510144234041440
6334422153224
744435312215
oct11641641020
93354067507
101317487120
11616761634
12309282814
1317cc4b6a1
14c6d93b0c
157a9e684a
hex4e874210

1317487120 has 40 divisors (see below), whose sum is σ = 3145952664. Its totient is φ = 512750592.

The previous prime is 1317487117. The next prime is 1317487121. The reversal of 1317487120 is 217847131.

It can be written as a sum of positive squares in 4 ways, for example, as 658846224 + 658640896 = 25668^2 + 25664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13174871202 = 3471544622731788800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1317487121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219589 + ... + 225508.

Almost surely, 21317487120 is an apocalyptic number.

1317487120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1317487120 is an abundant number, since it is smaller than the sum of its proper divisors (1828465544).

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

1317487120 is a wasteful number, since it uses less digits than its factorization.

1317487120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445147 (or 445141 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 1317487120 is about 36297.2054020692. The cubic root of 1317487120 is about 1096.2647743272.

The spelling of 1317487120 in words is "one billion, three hundred seventeen million, four hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 445097 890194 1780388 2225485 3560776 4450970 7121552 8901940 16468589 17803880 32937178 35607760 65874356 82342945 131748712 164685890 263497424 329371780 658743560 1317487120