Search a number
-
+
23142042 = 23271159283
BaseRepresentation
bin101100001000…
…1111010011010
31121112201220200
41120101322122
521411021132
62144003030
7400463340
oct130217232
947481820
1023142042
1112076a60
127900476
134a43621
143105990
152071d7c
hex1611e9a

23142042 has 96 divisors (see below), whose sum is σ = 63797760. Its totient is φ = 5888160.

The previous prime is 23142017. The next prime is 23142107. The reversal of 23142042 is 24024132.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81633 + ... + 81915.

It is an arithmetic number, because the mean of its divisors is an integer number (664560).

Almost surely, 223142042 is an apocalyptic number.

23142042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23142042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31898880).

23142042 is an abundant number, since it is smaller than the sum of its proper divisors (40655718).

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

23142042 is a wasteful number, since it uses less digits than its factorization.

23142042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23142042 is about 4810.6176318639. The cubic root of 23142042 is about 284.9709296295.

Adding to 23142042 its reverse (24024132), we get a palindrome (47166174).

It can be divided in two parts, 2314 and 2042, that added together give a square (4356 = 662).

The spelling of 23142042 in words is "twenty-three million, one hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 59 63 66 77 99 118 126 154 177 198 231 283 354 413 462 531 566 649 693 826 849 1062 1239 1298 1386 1698 1947 1981 2478 2547 3113 3717 3894 3962 4543 5094 5841 5943 6226 7434 9086 9339 11682 11886 13629 16697 17829 18678 21791 27258 28017 33394 35658 40887 43582 50091 56034 65373 81774 100182 116879 130746 150273 183667 196119 233758 300546 350637 367334 392238 551001 701274 1051911 1102002 1285669 1653003 2103822 2571338 3306006 3857007 7714014 11571021 23142042