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1327206140 = 2251322922291
BaseRepresentation
bin100111100011011…
…1000111011111100
310102111101001112222
41033012320323330
510204231044030
6335410344512
744614031441
oct11706707374
93374331488
101327206140
1162119a687
1231058b138
13181c723a0
14c83a39c8
157b7b63e5
hex4f1b8efc

1327206140 has 48 divisors (see below), whose sum is σ = 3014770080. Its totient is φ = 487883520.

The previous prime is 1327206119. The next prime is 1327206143. The reversal of 1327206140 is 416027231.

It is a super-2 number, since 2×13272061402 = 3522952276107399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327206143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48395 + ... + 70685.

It is an arithmetic number, because the mean of its divisors is an integer number (62807710).

Almost surely, 21327206140 is an apocalyptic number.

1327206140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327206140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507385040).

1327206140 is an abundant number, since it is smaller than the sum of its proper divisors (1687563940).

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

1327206140 is a wasteful number, since it uses less digits than its factorization.

1327206140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22542 (or 22540 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1327206140 is about 36430.8405063622. The cubic root of 1327206140 is about 1098.9538649117.

The spelling of 1327206140 in words is "one billion, three hundred twenty-seven million, two hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2290 2977 4580 5954 11908 14885 22291 29770 44582 59540 89164 111455 222910 289783 445820 579566 1159132 1448915 2897830 5104639 5795660 10209278 20418556 25523195 51046390 66360307 102092780 132720614 265441228 331801535 663603070 1327206140