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23241006 = 235172997
BaseRepresentation
bin101100010101…
…0000100101110
31121201202200000
41120222010232
521422203011
62150045130
7401355015
oct130520456
947652600
1023241006
1112134348
1279497a6
134a79699
14312da7c
152091356
hex162a12e

23241006 has 96 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 6967296.

The previous prime is 23240999. The next prime is 23241007. The reversal of 23241006 is 60014232.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23241006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23241007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239550 + ... + 239646.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 223241006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23241006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

23241006 is an abundant number, since it is smaller than the sum of its proper divisors (34547634).

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

23241006 is a wasteful number, since it uses less digits than its factorization.

23241006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

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

The square root of 23241006 is about 4820.8926559300. The cubic root of 23241006 is about 285.3765659422.

Adding to 23241006 its reverse (60014232), we get a palindrome (83255238).

The spelling of 23241006 in words is "twenty-three million, two hundred forty-one thousand, six".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 81 87 97 102 153 162 174 194 243 261 291 306 459 486 493 522 582 783 873 918 986 1377 1479 1566 1649 1746 2349 2619 2754 2813 2958 3298 4131 4437 4698 4947 5238 5626 7047 7857 8262 8439 8874 9894 13311 14094 14841 15714 16878 23571 25317 26622 29682 39933 44523 47142 47821 50634 75951 79866 89046 95642 119799 133569 143463 151902 227853 239598 267138 286926 400707 430389 455706 683559 801414 860778 1291167 1367118 2582334 3873501 7747002 11620503 23241006