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13789764 = 22364729
BaseRepresentation
bin110100100110…
…101001000100
3221221121000000
4310212221010
512012233024
61211321300
7225132252
oct64465104
927847000
1013789764
1178694aa
124750230
132b1a831
141b8d5d2
151325cc9
hexd26a44

13789764 has 42 divisors (see below), whose sum is σ = 36189230. Its totient is φ = 4595616.

The previous prime is 13789733. The next prime is 13789793. The reversal of 13789764 is 46798731.

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 5904900 = 2808^2 + 2430^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 552 + ... + 5280.

Almost surely, 213789764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13789764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094615).

13789764 is an abundant number, since it is smaller than the sum of its proper divisors (22399466).

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

13789764 is an equidigital number, since it uses as much as digits as its factorization.

13789764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4734 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 13789764 is about 3713.4571493421. The cubic root of 13789764 is about 239.8017112183.

The spelling of 13789764 in words is "thirteen million, seven hundred eighty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4729 9458 14187 18916 28374 42561 56748 85122 127683 170244 255366 383049 510732 766098 1149147 1532196 2298294 3447441 4596588 6894882 13789764