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1312246820 = 2254115710193
BaseRepresentation
bin100111000110111…
…0100110000100100
310101110020001020002
41032031310300210
510141413344240
6334114000432
744342625323
oct11615646044
93343201202
101312246820
11613802505
12307576118
1317bb35411
14c63cc0ba
157a30dd15
hex4e374c24

1312246820 has 48 divisors (see below), whose sum is σ = 2841190128. Its totient is φ = 508784640.

The previous prime is 1312246811. The next prime is 1312246841. The reversal of 1312246820 is 286422131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 152571904 + 1159674916 = 12352^2 + 34054^2 .

It is a super-2 number, since 2×13122468202 = 3443983433200224800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123644 + ... + 133836.

It is an arithmetic number, because the mean of its divisors is an integer number (59191461).

Almost surely, 21312246820 is an apocalyptic number.

1312246820 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 1312246820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420595064).

1312246820 is an abundant number, since it is smaller than the sum of its proper divisors (1528943308).

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

1312246820 is a wasteful number, since it uses less digits than its factorization.

1312246820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1312246820 is about 36224.9474809833. The cubic root of 1312246820 is about 1094.8093800222.

Adding to 1312246820 its reverse (286422131), we get a palindrome (1598668951).

The spelling of 1312246820 in words is "one billion, three hundred twelve million, two hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 157 164 205 314 410 628 785 820 1570 3140 6437 10193 12874 20386 25748 32185 40772 50965 64370 101930 128740 203860 417913 835826 1600301 1671652 2089565 3200602 4179130 6401204 8001505 8358260 16003010 32006020 65612341 131224682 262449364 328061705 656123410 1312246820