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1327580028 = 223252816983
BaseRepresentation
bin100111100100001…
…0100001101111100
310102112002001102200
41033020110031330
510204330030103
6335422351500
744620146465
oct11710241574
93375061380
101327580028
11621425585
1231072b590
13182073618
14c845dd6c
157b83c0a3
hex4f21437c

1327580028 has 36 divisors (see below), whose sum is σ = 3356943408. Its totient is φ = 442379520.

The previous prime is 1327580011. The next prime is 1327580047. The reversal of 1327580028 is 8200857231.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1327579974 and 1327580001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186625 + ... + 193607.

It is an arithmetic number, because the mean of its divisors is an integer number (93248428).

Almost surely, 21327580028 is an apocalyptic number.

1327580028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1327580028 is an abundant number, since it is smaller than the sum of its proper divisors (2029363380).

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

1327580028 is a wasteful number, since it uses less digits than its factorization.

1327580028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12274 (or 12269 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1327580028 is about 36435.9716214622. The cubic root of 1327580028 is about 1099.0570508632.

The spelling of 1327580028 in words is "one billion, three hundred twenty-seven million, five hundred eighty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 5281 6983 10562 13966 15843 20949 21124 27932 31686 41898 47529 62847 63372 83796 95058 125694 190116 251388 36877223 73754446 110631669 147508892 221263338 331895007 442526676 663790014 1327580028