Search a number
-
+
10142334 = 23541509
BaseRepresentation
bin100110101100…
…001001111110
3201002021200000
4212230021332
510044023314
61001215130
7152131326
oct46541176
921067600
1010142334
1157a80a4
1234914a6
1321415a7
1414c0286
15d55209
hex9ac27e

10142334 has 48 divisors (see below), whose sum is σ = 23390640. Its totient is φ = 3291840.

The previous prime is 10142323. The next prime is 10142369. The reversal of 10142334 is 43324101.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19672 + ... + 20180.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 210142334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

10142334 is an abundant number, since it is smaller than the sum of its proper divisors (13248306).

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

10142334 is an equidigital number, since it uses as much as digits as its factorization.

10142334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10142334 is about 3184.7031258816. The cubic root of 10142334 is about 216.4608217237.

Adding to 10142334 its reverse (43324101), we get a palindrome (53466435).

The spelling of 10142334 in words is "ten million, one hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 509 738 1018 1107 1527 2214 3054 3321 4581 6642 9162 9963 13743 19926 20869 27486 41229 41738 62607 82458 123687 125214 187821 247374 375642 563463 1126926 1690389 3380778 5071167 10142334