Search a number
-
+
10614132 = 2233234273
BaseRepresentation
bin101000011111…
…010101110100
3201222020212000
4220133111310
510204123012
61015255300
7156134664
oct50372564
921866760
1010614132
115a9a611
12367a530
132278269
1415a41a4
15de9ddc
hexa1f574

10614132 has 48 divisors (see below), whose sum is σ = 28721280. Its totient is φ = 3383424.

The previous prime is 10614113. The next prime is 10614133. The reversal of 10614132 is 23141601.

It is a happy number.

It is a super-2 number, since 2×106141322 = 225319596226848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10614133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 348 + ... + 4620.

It is an arithmetic number, because the mean of its divisors is an integer number (598360).

Almost surely, 210614132 is an apocalyptic number.

10614132 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 10614132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360640).

10614132 is an abundant number, since it is smaller than the sum of its proper divisors (18107148).

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

10614132 is a wasteful number, since it uses less digits than its factorization.

10614132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10614132 is about 3257.9337009829. The cubic root of 10614132 is about 219.7665015739.

Adding to 10614132 its reverse (23141601), we get a palindrome (33755733).

The spelling of 10614132 in words is "ten million, six hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 4273 8546 12819 17092 25638 38457 51276 76914 98279 115371 153828 196558 230742 294837 393116 461484 589674 884511 1179348 1769022 2653533 3538044 5307066 10614132