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13506740 = 2251351949
BaseRepresentation
bin110011100001…
…100010110100
3221102012202122
4303201202310
511424203430
61201255112
7222543152
oct63414264
927365678
1013506740
1176958a5
124634498
132a4ba70
141b183d2
1512bbee5
hexce18b4

13506740 has 24 divisors (see below), whose sum is σ = 30546600. Its totient is φ = 4987008.

The previous prime is 13506737. The next prime is 13506751. The reversal of 13506740 is 4760531.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 13498276 = 92^2 + 3674^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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, 25715 + ... + 26234.

It is an arithmetic number, because the mean of its divisors is an integer number (1272775).

Almost surely, 213506740 is an apocalyptic number.

13506740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13506740 is an abundant number, since it is smaller than the sum of its proper divisors (17039860).

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

13506740 is a wasteful number, since it uses less digits than its factorization.

13506740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51971 (or 51969 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 13506740 is about 3675.1516975494. The cubic root of 13506740 is about 238.1497774361.

The spelling of 13506740 in words is "thirteen million, five hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 51949 103898 207796 259745 519490 675337 1038980 1350674 2701348 3376685 6753370 13506740