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12988040 = 2351324977
BaseRepresentation
bin110001100010…
…111010001000
3220102212020112
4301202322020
511311104130
61142213452
7215253002
oct61427210
926385215
1012988040
11737111a
124424288
1328c9940
141a21372
151218495
hexc62e88

12988040 has 32 divisors (see below), whose sum is σ = 31472280. Its totient is φ = 4795392.

The previous prime is 12988033. The next prime is 12988043. The reversal of 12988040 is 4088921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3976036 + 9012004 = 1994^2 + 3002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12987988 and 12988006.

It is not an unprimeable number, because it can be changed into a prime (12988043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11969 + ... + 13008.

Almost surely, 212988040 is an apocalyptic number.

12988040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12988040 is an abundant number, since it is smaller than the sum of its proper divisors (18484240).

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

12988040 is a wasteful number, since it uses less digits than its factorization.

12988040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25001 (or 24997 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 12988040 is about 3603.8923402344. The cubic root of 12988040 is about 235.0613390507.

The spelling of 12988040 in words is "twelve million, nine hundred eighty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 24977 49954 99908 124885 199816 249770 324701 499540 649402 999080 1298804 1623505 2597608 3247010 6494020 12988040