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13001355 = 325311929
BaseRepresentation
bin110001100110…
…001010001011
3220110112111200
4301212022023
511312020410
61142355243
7215336553
oct61461213
926415450
1013001355
117380124
12442bb23
132902a13
141a26163
15121c3c0
hexc6628b

13001355 has 24 divisors (see below), whose sum is σ = 22632480. Its totient is φ = 6904320.

The previous prime is 13001347. The next prime is 13001389. The reversal of 13001355 is 55310031.

It is a happy number.

It is not a de Polignac number, because 13001355 - 23 = 13001347 is a prime.

13001355 is a modest number, since divided by 1355 gives 130 as remainder.

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 23 ways as a sum of consecutive naturals, for example, 13531 + ... + 14459.

It is an arithmetic number, because the mean of its divisors is an integer number (943020).

Almost surely, 213001355 is an apocalyptic number.

13001355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13001355 is a deficient number, since it is larger than the sum of its proper divisors (9631125).

13001355 is a wasteful number, since it uses less digits than its factorization.

13001355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13001355 is about 3605.7391752594. The cubic root of 13001355 is about 235.1416378690.

Adding to 13001355 its reverse (55310031), we get a palindrome (68311386).

The spelling of 13001355 in words is "thirteen million, one thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 45 311 929 933 1555 2787 2799 4645 4665 8361 13935 13995 41805 288919 866757 1444595 2600271 4333785 13001355