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141128 = 23132359
BaseRepresentation
bin100010011101001000
321011120222
4202131020
514004003
63005212
71125311
oct423510
9234528
10141128
1197039
1269808
134c310
1439608
152bc38
hex22748

141128 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 61248.

The previous prime is 141121. The next prime is 141131. The reversal of 141128 is 821141.

It is a super-2 number, since 2×1411282 = 39834224768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2363 + ... + 2421.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2141128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

141128 is an abundant number, since it is smaller than the sum of its proper divisors (161272).

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

141128 is a wasteful number, since it uses less digits than its factorization.

141128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its digits is 64, while the sum is 17.

The square root of 141128 is about 375.6700680118. The cubic root of 141128 is about 52.0640237042.

Adding to 141128 its reverse (821141), we get a palindrome (962269).

It can be divided in two parts, 14112 and 8, that multiplied together give a square (112896 = 3362).

The spelling of 141128 in words is "one hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 59 92 104 118 184 236 299 472 598 767 1196 1357 1534 2392 2714 3068 5428 6136 10856 17641 35282 70564 141128