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1331648420 = 225172230389
BaseRepresentation
bin100111101011111…
…0101011110100100
310102210201202012212
41033113311132210
510211400222140
6340045502552
744666552624
oct11727653644
93383652185
101331648420
11623754193
12311b71a58
13182b6935b
14c8bdc884
157bd92765
hex4f5f57a4

1331648420 has 36 divisors (see below), whose sum is σ = 2970648660. Its totient is φ = 501324288.

The previous prime is 1331648401. The next prime is 1331648441. The reversal of 1331648420 is 248461331.

It can be written as a sum of positive squares in 6 ways, for example, as 89226916 + 1242421504 = 9446^2 + 35248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109415 + ... + 120974.

Almost surely, 21331648420 is an apocalyptic number.

1331648420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331648420 is an abundant number, since it is smaller than the sum of its proper divisors (1639000240).

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

1331648420 is a wasteful number, since it uses less digits than its factorization.

1331648420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230432 (or 230413 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1331648420 is about 36491.7582475824. The cubic root of 1331648420 is about 1100.1785990998.

The spelling of 1331648420 in words is "one billion, three hundred thirty-one million, six hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 230389 460778 921556 1151945 2303890 3916613 4607780 7833226 15666452 19583065 39166130 66582421 78332260 133164842 266329684 332912105 665824210 1331648420