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13353140 = 225667657
BaseRepresentation
bin110010111100…
…000010110100
3221010102001202
4302330002310
511404300030
61154112032
7221333303
oct62740264
927112052
1013353140
1175a0459
12457b618
1329c6b88
141ab843a
15128b745
hexcbc0b4

13353140 has 12 divisors (see below), whose sum is σ = 28041636. Its totient is φ = 5341248.

The previous prime is 13353139. The next prime is 13353149. The reversal of 13353140 is 4135331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3189796 + 10163344 = 1786^2 + 3188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 667657 = 13353140 / (1 + 3 + 3 + 5 + 3 + 1 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13353149) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 333809 + ... + 333848.

It is an arithmetic number, because the mean of its divisors is an integer number (2336803).

Almost surely, 213353140 is an apocalyptic number.

13353140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13353140 is an abundant number, since it is smaller than the sum of its proper divisors (14688496).

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

13353140 is a wasteful number, since it uses less digits than its factorization.

13353140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667666 (or 667664 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 13353140 is about 3654.1948497583. The cubic root of 13353140 is about 237.2435792064.

Adding to 13353140 its reverse (4135331), we get a palindrome (17488471).

The spelling of 13353140 in words is "thirteen million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 667657 1335314 2670628 3338285 6676570 13353140