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1331325040 = 24529573847
BaseRepresentation
bin100111101011010…
…0110100001110000
310102210010022121211
41033112212201300
510211304400130
6340034525504
744664035053
oct11726464160
93383108554
101331325040
11623553231
12311a36894
13182a850c6
14c8b56a9a
157bd2ba2a
hex4f5a6870

1331325040 has 40 divisors (see below), whose sum is σ = 3202071840. Its totient is φ = 514166016.

The previous prime is 1331324999. The next prime is 1331325043. The reversal of 1331325040 is 405231331.

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

It is a super-3 number, since 3×13313250403 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331325043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284604 + ... + 289243.

It is an arithmetic number, because the mean of its divisors is an integer number (80051796).

Almost surely, 21331325040 is an apocalyptic number.

1331325040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331325040 is an abundant number, since it is smaller than the sum of its proper divisors (1870746800).

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

1331325040 is a wasteful number, since it uses less digits than its factorization.

1331325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573889 (or 573883 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1331325040 is about 36487.3271150409. The cubic root of 1331325040 is about 1100.0895354117.

Adding to 1331325040 its reverse (405231331), we get a palindrome (1736556371).

The spelling of 1331325040 in words is "one billion, three hundred thirty-one million, three hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 573847 1147694 2295388 2869235 4590776 5738470 9181552 11476940 16641563 22953880 33283126 45907760 66566252 83207815 133132504 166415630 266265008 332831260 665662520 1331325040