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13353705 = 325296749
BaseRepresentation
bin110010111100…
…001011101001
3221010102211200
4302330023221
511404304310
61154114413
7221335041
oct62741351
927112750
1013353705
1175a0922
12457ba09
1329c7201
141ab8721
15128b9c0
hexcbc2e9

13353705 has 12 divisors (see below), whose sum is σ = 23146500. Its totient is φ = 7121952.

The previous prime is 13353679. The next prime is 13353719. The reversal of 13353705 is 50735331.

13353705 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3164841 + 10188864 = 1779^2 + 3192^2 .

It is not a de Polignac number, because 13353705 - 210 = 13352681 is a prime.

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 148330 + ... + 148419.

It is an arithmetic number, because the mean of its divisors is an integer number (1928875).

Almost surely, 213353705 is an apocalyptic number.

13353705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13353705 is a deficient number, since it is larger than the sum of its proper divisors (9792795).

13353705 is a wasteful number, since it uses less digits than its factorization.

13353705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296760 (or 296757 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 13353705 is about 3654.2721573523. The cubic root of 13353705 is about 237.2469252541.

The spelling of 13353705 in words is "thirteen million, three hundred fifty-three thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 296749 890247 1483745 2670741 4451235 13353705