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12576740 = 2251125197
BaseRepresentation
bin101111111110…
…011111100100
3212122222001012
4233332133210
511204423430
61125321352
7211620611
oct57763744
925588035
1012576740
117110100
124266258
1327b4677
141955508
151186695
hexbfe7e4

12576740 has 36 divisors (see below), whose sum is σ = 29036028. Its totient is φ = 4572480.

The previous prime is 12576713. The next prime is 12576743. The reversal of 12576740 is 4767521.

It can be written as a sum of positive squares in 2 ways, for example, as 5134756 + 7441984 = 2266^2 + 2728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12576697 and 12576706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12576743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179 + ... + 5018.

Almost surely, 212576740 is an apocalyptic number.

12576740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12576740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14518014).

12576740 is an abundant number, since it is smaller than the sum of its proper divisors (16459288).

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

12576740 is a wasteful number, since it uses less digits than its factorization.

12576740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 12576740 is about 3546.3699750590. The cubic root of 12576740 is about 232.5534004600.

It can be divided in two parts, 1257 and 6740, that added together give a palindrome (7997).

The spelling of 12576740 in words is "twelve million, five hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 5197 10394 20788 25985 51970 57167 103940 114334 228668 285835 571670 628837 1143340 1257674 2515348 3144185 6288370 12576740