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10269132 = 22323291283
BaseRepresentation
bin100111001011…
…000111001100
3201022201121020
4213023013030
510112103012
61004034140
7153200106
oct47130714
921281536
1010269132
115884395
123532950
132187213
141514576
15d7ca8c
hex9cb1cc

10269132 has 48 divisors (see below), whose sum is σ = 25885440. Its totient is φ = 3158848.

The previous prime is 10269097. The next prime is 10269137. The reversal of 10269132 is 23196201.

10269132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10269137) 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, 7363 + ... + 8645.

It is an arithmetic number, because the mean of its divisors is an integer number (539280).

Almost surely, 210269132 is an apocalyptic number.

10269132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10269132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12942720).

10269132 is an abundant number, since it is smaller than the sum of its proper divisors (15616308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10269132 is a wasteful number, since it uses less digits than its factorization.

10269132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10269132 is about 3204.5486421648. The cubic root of 10269132 is about 217.3591425140.

It can be divided in two parts, 10269 and 132, that added together give a palindrome (10401).

The spelling of 10269132 in words is "ten million, two hundred sixty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1283 1334 2001 2566 2668 3849 4002 5132 7698 8004 15396 29509 37207 59018 74414 88527 111621 118036 148828 177054 223242 354108 446484 855761 1711522 2567283 3423044 5134566 10269132