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12761040 = 243553171
BaseRepresentation
bin110000101011…
…011111010000
3220000022212010
4300223133100
511231323130
61133302520
7213316125
oct60533720
926008763
1012761040
117226616
124334a40
13284a516
1419a274c
1511c10b0
hexc2b7d0

12761040 has 40 divisors (see below), whose sum is σ = 39559968. Its totient is φ = 3402880.

The previous prime is 12761011. The next prime is 12761059. The reversal of 12761040 is 4016721.

12761040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12760998 and 12761016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26346 + ... + 26825.

Almost surely, 212761040 is an apocalyptic number.

12761040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12761040 is an abundant number, since it is smaller than the sum of its proper divisors (26798928).

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

12761040 is a wasteful number, since it uses less digits than its factorization.

12761040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53187 (or 53181 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12761040 is about 3572.2597889851. The cubic root of 12761040 is about 233.6838450821.

Adding to 12761040 its reverse (4016721), we get a palindrome (16777761).

The spelling of 12761040 in words is "twelve million, seven hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 53171 106342 159513 212684 265855 319026 425368 531710 638052 797565 850736 1063420 1276104 1595130 2126840 2552208 3190260 4253680 6380520 12761040