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142400232 = 233213167911
BaseRepresentation
bin10000111110011…
…01101011101000
3100220221200101200
420133031223220
5242423301412
622044044200
73346245012
oct1037155350
9326850350
10142400232
1173421447
123b833660
132366a9c0
1414cab1b2
15c77c9dc
hex87cdae8

142400232 has 96 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 43505280.

The previous prime is 142400213. The next prime is 142400233. The reversal of 142400232 is 232004241.

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

It is not an unprimeable number, because it can be changed into a prime (142400233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155857 + ... + 156767.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2142400232 is an apocalyptic number.

142400232 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 142400232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

142400232 is an abundant number, since it is smaller than the sum of its proper divisors (275879448).

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

142400232 is a wasteful number, since it uses less digits than its factorization.

142400232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1096 counting only the distinct ones).

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

The square root of 142400232 is about 11933.1568329592. The cubic root of 142400232 is about 522.2000378350.

Adding to 142400232 its reverse (232004241), we get a palindrome (374404473).

The spelling of 142400232 in words is "one hundred forty-two million, four hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 167 234 312 334 468 501 668 911 936 1002 1336 1503 1822 2004 2171 2733 3006 3644 4008 4342 5466 6012 6513 7288 8199 8684 10932 11843 12024 13026 16398 17368 19539 21864 23686 26052 32796 35529 39078 47372 52104 65592 71058 78156 94744 106587 142116 152137 156312 213174 284232 304274 426348 456411 608548 852696 912822 1217096 1369233 1825644 1977781 2738466 3651288 3955562 5476932 5933343 7911124 10953864 11866686 15822248 17800029 23733372 35600058 47466744 71200116 142400232