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1312397136 = 24329113869
BaseRepresentation
bin100111000111001…
…1001011101010000
310101110111200102100
41032032121131100
510141433202021
6334121120400
744344122501
oct11616313520
93343450370
101312397136
116138a5436
12307629100
1317bb8896b
14c642aba8
157a33d626
hex4e399750

1312397136 has 30 divisors (see below), whose sum is σ = 3672889610. Its totient is φ = 437465664.

The previous prime is 1312397129. The next prime is 1312397159. The reversal of 1312397136 is 6317932131.

1312397136 is a `hidden beast` number, since 131 + 2 + 397 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 700131600 + 612265536 = 26460^2 + 24744^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1312397136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4556791 + ... + 4557078.

Almost surely, 21312397136 is an apocalyptic number.

1312397136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1312397136 is an abundant number, since it is smaller than the sum of its proper divisors (2360492474).

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

1312397136 is a wasteful number, since it uses less digits than its factorization.

1312397136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9113883 (or 9113874 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 1312397136 is about 36227.0221795830. The cubic root of 1312397136 is about 1094.8511813767.

The spelling of 1312397136 in words is "one billion, three hundred twelve million, three hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9113869 18227738 27341607 36455476 54683214 72910952 82024821 109366428 145821904 164049642 218732856 328099284 437465712 656198568 1312397136