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24023142 = 23411131761
BaseRepresentation
bin101101110100…
…1000001100110
31200012111120000
41123221001212
522122220032
62214522130
7411123213
oct133510146
950174500
1024023142
1112618a40
128066346
134c916a0
143294b0a
152197e7c
hex16e9066

24023142 has 160 divisors (see below), whose sum is σ = 68058144. Its totient is φ = 6220800.

The previous prime is 24023141. The next prime is 24023177. The reversal of 24023142 is 24132042.

It is a super-2 number, since 2×240231422 = 1154222703104328, 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 (24023141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 393792 + ... + 393852.

Almost surely, 224023142 is an apocalyptic number.

24023142 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 24023142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34029072).

24023142 is an abundant number, since it is smaller than the sum of its proper divisors (44035002).

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

24023142 is a wasteful number, since it uses less digits than its factorization.

24023142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

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

The square root of 24023142 is about 4901.3408369547. The cubic root of 24023142 is about 288.5425968879.

Adding to 24023142 its reverse (24132042), we get a palindrome (48155184).

Subtracting 24023142 from its reverse (24132042), we obtain a square (108900 = 3302).

The spelling of 24023142 in words is "twenty-four million, twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 61 66 78 81 99 102 117 122 143 153 162 183 187 198 221 234 286 297 306 351 366 374 429 442 459 549 561 594 663 671 702 793 858 891 918 1037 1053 1098 1122 1287 1326 1342 1377 1586 1647 1683 1782 1989 2013 2074 2106 2379 2431 2574 2754 3111 3294 3366 3861 3978 4026 4758 4862 4941 5049 5967 6039 6222 7137 7293 7722 8723 9333 9882 10098 11407 11583 11934 12078 13481 14274 14586 15147 17446 17901 18117 18666 21411 21879 22814 23166 26169 26962 27999 30294 34221 35802 36234 40443 42822 43758 52338 54351 55998 64233 65637 68442 78507 80886 83997 102663 108702 121329 128466 131274 148291 157014 167994 196911 205326 235521 242658 296582 307989 363987 393822 444873 471042 615978 706563 727974 889746 923967 1091961 1334619 1413126 1847934 2183922 2669238 4003857 8007714 12011571 24023142