Search a number
-
+
13350753 = 3213532153
BaseRepresentation
bin110010111011…
…011101100001
3221010021210100
4302323131201
511404211003
61154053013
7221323323
oct62733541
927107710
1013350753
117599689
12457a169
1329c5a70
141ab7613
15128aba3
hexcbb761

13350753 has 24 divisors (see below), whose sum is σ = 21169512. Its totient is φ = 8057088.

The previous prime is 13350737. The next prime is 13350767. The reversal of 13350753 is 35705331.

It can be written as a sum of positive squares in 4 ways, for example, as 42849 + 13307904 = 207^2 + 3648^2 .

It is not a de Polignac number, because 13350753 - 24 = 13350737 is a prime.

It is a super-3 number, since 3×133507533 (a number of 22 digits) contains 333 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13350703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5125 + ... + 7277.

It is an arithmetic number, because the mean of its divisors is an integer number (882063).

Almost surely, 213350753 is an apocalyptic number.

13350753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13350753 is a deficient number, since it is larger than the sum of its proper divisors (7818759).

13350753 is a wasteful number, since it uses less digits than its factorization.

13350753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2222 counting only the distinct ones).

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

The square root of 13350753 is about 3653.8682242248. The cubic root of 13350753 is about 237.2294418531.

The spelling of 13350753 in words is "thirteen million, three hundred fifty thousand, seven hundred fifty-three".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 2153 6201 6459 19377 27989 83967 114109 251901 342327 1026981 1483417 4450251 13350753