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13120020 = 2232572889
BaseRepresentation
bin110010000011…
…001000010100
3220200120021200
4302003020110
511324320040
61145112500
7216342534
oct62031024
926616250
1013120020
1174512a1
124488730
132944a34
141a574c4
151242630
hexc83214

13120020 has 36 divisors (see below), whose sum is σ = 39797940. Its totient is φ = 3498624.

The previous prime is 13119983. The next prime is 13120057. The reversal of 13120020 is 2002131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13119983) and next prime (13120057).

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 4334724 = 2964^2 + 2082^2 .

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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 13119984 and 13120011.

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, 36265 + ... + 36624.

Almost surely, 213120020 is an apocalyptic number.

13120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120020 is an abundant number, since it is smaller than the sum of its proper divisors (26677920).

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

13120020 is a wasteful number, since it uses less digits than its factorization.

13120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72904 (or 72899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13120020 is about 3622.1568160421. The cubic root of 13120020 is about 235.8548614436.

Adding to 13120020 its reverse (2002131), we get a palindrome (15122151).

The spelling of 13120020 in words is "thirteen million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72889 145778 218667 291556 364445 437334 656001 728890 874668 1093335 1312002 1457780 2186670 2624004 3280005 4373340 6560010 13120020