Search a number
-
+
142111032 = 2337192112
BaseRepresentation
bin10000111100001…
…11000100111000
3100220101222200120
420132013010320
5242340023112
622033533240
73343631610
oct1036070470
9326358616
10142111032
1173244138
123b714220
132359918b
1414c33a40
15c721e8c
hex8787138

142111032 has 96 divisors (see below), whose sum is σ = 429436800. Its totient is φ = 38283840.

The previous prime is 142111019. The next prime is 142111063. The reversal of 142111032 is 230111241.

It is a super-2 number, since 2×1421110322 = 40391090832210048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673407 + ... + 673617.

It is an arithmetic number, because the mean of its divisors is an integer number (4473300).

Almost surely, 2142111032 is an apocalyptic number.

142111032 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 142111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214718400).

142111032 is an abundant number, since it is smaller than the sum of its proper divisors (287325768).

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

142111032 is a wasteful number, since it uses less digits than its factorization.

142111032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 142111032 is about 11921.0331767008. The cubic root of 142111032 is about 521.8462870024.

Adding to 142111032 its reverse (230111241), we get a palindrome (372222273).

The spelling of 142111032 in words is "one hundred forty-two million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 211 228 266 399 422 456 532 633 798 844 1064 1266 1477 1596 1688 2532 2954 3192 4009 4431 5064 5908 8018 8862 11816 12027 16036 17724 24054 28063 32072 35448 44521 48108 56126 84189 89042 96216 112252 133563 168378 178084 224504 267126 311647 336756 356168 534252 623294 673512 845899 934941 1068504 1246588 1691798 1869882 2493176 2537697 3383596 3739764 5075394 5921293 6767192 7479528 10150788 11842586 17763879 20301576 23685172 35527758 47370344 71055516 142111032