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13790020 = 2252412861
BaseRepresentation
bin110100100110…
…101101000100
3221221121100111
4310212231010
512012240040
61211322404
7225133066
oct64465504
927847314
1013790020
117869712
124750404
132b1a99a
141b8d736
151325dea
hexd26b44

13790020 has 24 divisors (see below), whose sum is σ = 29089368. Its totient is φ = 5491200.

The previous prime is 13789999. The next prime is 13790027. The reversal of 13790020 is 2009731.

It can be written as a sum of positive squares in 4 ways, for example, as 2979076 + 10810944 = 1726^2 + 3288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13789973 and 13790000.

It is not an unprimeable number, because it can be changed into a prime (13790027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3390 + ... + 6250.

It is an arithmetic number, because the mean of its divisors is an integer number (1212057).

Almost surely, 213790020 is an apocalyptic number.

13790020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13790020 is an abundant number, since it is smaller than the sum of its proper divisors (15299348).

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

13790020 is a wasteful number, since it uses less digits than its factorization.

13790020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 13790020 is about 3713.4916184098. The cubic root of 13790020 is about 239.8031951416.

Adding to 13790020 its reverse (2009731), we get a palindrome (15799751).

The spelling of 13790020 in words is "thirteen million, seven hundred ninety thousand, twenty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 2861 4820 5722 11444 14305 28610 57220 689501 1379002 2758004 3447505 6895010 13790020