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1332681440 = 25560113859
BaseRepresentation
bin100111101101111…
…0001101011100000
310102212200020020212
41033123301223200
510212131301230
6340123553252
745011414426
oct11733615340
93385606225
101332681440
1162429a322
1231238b828
1318313b5cc
14c8dcb116
157bee8895
hex4f6f1ae0

1332681440 has 48 divisors (see below), whose sum is σ = 3153926160. Its totient is φ = 532147200.

The previous prime is 1332681421. The next prime is 1332681443. The reversal of 1332681440 is 441862331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1332681397 and 1332681406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332681443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 89231 + ... + 103089.

It is an arithmetic number, because the mean of its divisors is an integer number (65706795).

Almost surely, 21332681440 is an apocalyptic number.

1332681440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332681440 is an abundant number, since it is smaller than the sum of its proper divisors (1821244720).

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

1332681440 is a wasteful number, since it uses less digits than its factorization.

1332681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475 (or 14467 counting only the distinct ones).

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

The square root of 1332681440 is about 36505.9096585745. The cubic root of 1332681440 is about 1100.4630116935.

The spelling of 1332681440 in words is "one billion, three hundred thirty-two million, six hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 601 1202 2404 3005 4808 6010 9616 12020 13859 19232 24040 27718 48080 55436 69295 96160 110872 138590 221744 277180 443488 554360 1108720 2217440 8329259 16658518 33317036 41646295 66634072 83292590 133268144 166585180 266536288 333170360 666340720 1332681440