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61353305 = 5132341039
BaseRepresentation
bin1110101000001…
…0110101011001
311021110001220122
43222002311121
5111201301210
610031003025
71343331416
oct352026531
9137401818
1061353305
11316a5712
1218669475
13c931c40
14821110d
1555bdb55
hex3a82d59

61353305 has 16 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 43336128.

The previous prime is 61353293. The next prime is 61353311. The reversal of 61353305 is 50335316.

61353305 is nontrivially palindromic in base 15.

61353305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 61353305 - 28 = 61353049 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19025 + ... + 22014.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 261353305 is an apocalyptic number.

61353305 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61353305 is a deficient number, since it is larger than the sum of its proper divisors (21383335).

61353305 is a wasteful number, since it uses less digits than its factorization.

61353305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41080.

The product of its (nonzero) digits is 4050, while the sum is 26.

The square root of 61353305 is about 7832.8350550742. The cubic root of 61353305 is about 394.4082470843.

The spelling of 61353305 in words is "sixty-one million, three hundred fifty-three thousand, three hundred five".

Divisors: 1 5 13 23 65 115 299 1495 41039 205195 533507 943897 2667535 4719485 12270661 61353305