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1027315152 = 243261116953
BaseRepresentation
bin111101001110111…
…001010111010000
32122121002000110100
4331032321113100
54100443041102
6245534532400
734313014623
oct7516712720
92577060410
101027315152
11487990096
12248067100
13134ab20b6
149a61bdba
15602c9a1c
hex3d3b95d0

1027315152 has 60 divisors (see below), whose sum is σ = 2922212644. Its totient is φ = 336821760.

The previous prime is 1027315129. The next prime is 1027315241. The reversal of 1027315152 is 2515137201.

It can be written as a sum of positive squares in 2 ways, for example, as 78428736 + 948886416 = 8856^2 + 30804^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 49693 + ... + 67260.

Almost surely, 21027315152 is an apocalyptic number.

1027315152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1027315152 is an abundant number, since it is smaller than the sum of its proper divisors (1894897492).

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

1027315152 is a wasteful number, since it uses less digits than its factorization.

1027315152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117028 (or 117019 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1027315152 is about 32051.7573933162. The cubic root of 1027315152 is about 1009.0233843033.

It can be divided in two parts, 10273 and 15152, that added together give a triangular number (25425 = T225).

The spelling of 1027315152 in words is "one billion, twenty-seven million, three hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 116953 233906 350859 467812 701718 935624 1052577 1403436 1871248 2105154 2806872 4210308 5613744 7134133 8420616 14268266 16841232 21402399 28536532 42804798 57073064 64207197 85609596 114146128 128414394 171219192 256828788 342438384 513657576 1027315152