Search a number
-
+
10535329 = 719113701
BaseRepresentation
bin101000001100…
…000110100001
3201211020202101
4220030012201
510144112304
61013450401
7155356150
oct50140641
921736671
1010535329
115a46392
123640a01
13224b42c
141583597
15dd18a4
hexa0c1a1

10535329 has 16 divisors (see below), whose sum is σ = 12804480. Its totient is φ = 8467200.

The previous prime is 10535309. The next prime is 10535333. The reversal of 10535329 is 92353501.

10535329 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10535329 is a prime.

It is a super-2 number, since 2×105353292 = 221986314276482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10535297 and 10535306.

It is not an unprimeable number, because it can be changed into a prime (10535309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14679 + ... + 15379.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 210535329 is an apocalyptic number.

10535329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10535329 is a deficient number, since it is larger than the sum of its proper divisors (2269151).

10535329 is a wasteful number, since it uses less digits than its factorization.

10535329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840.

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 10535329 is about 3245.8171544312. The cubic root of 10535329 is about 219.2212757622.

The spelling of 10535329 in words is "ten million, five hundred thirty-five thousand, three hundred twenty-nine".

Divisors: 1 7 19 113 133 701 791 2147 4907 13319 15029 79213 93233 554491 1505047 10535329