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1327397040 = 243251843607
BaseRepresentation
bin100111100011110…
…0111100010110000
310102111201202102100
41033013213202300
510204303201130
6335414420400
744615455134
oct11707474260
93374652370
101327397040
11621310052
12310661700
1318200b248
14c84133c4
157b802c60
hex4f1e78b0

1327397040 has 60 divisors (see below), whose sum is σ = 4457844144. Its totient is φ = 353972352.

The previous prime is 1327397023. The next prime is 1327397047. The reversal of 1327397040 is 407937231.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1327396986 and 1327397004.

It is not an unprimeable number, because it can be changed into a prime (1327397047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 921084 + ... + 922523.

Almost surely, 21327397040 is an apocalyptic number.

1327397040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327397040 is an abundant number, since it is smaller than the sum of its proper divisors (3130447104).

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

1327397040 is a wasteful number, since it uses less digits than its factorization.

1327397040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843626 (or 1843617 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1327397040 is about 36433.4604450360. The cubic root of 1327397040 is about 1099.0065520889.

The spelling of 1327397040 in words is "one billion, three hundred twenty-seven million, three hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1843607 3687214 5530821 7374428 9218035 11061642 14748856 16592463 18436070 22123284 27654105 29497712 33184926 36872140 44246568 55308210 66369852 73744280 82962315 88493136 110616420 132739704 147488560 165924630 221232840 265479408 331849260 442465680 663698520 1327397040