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141456 = 2437421
BaseRepresentation
bin100010100010010000
321012001010
4202202100
514011311
63010520
71126260
oct424220
9235033
10141456
1197307
1269a40
134c503
14397a0
152bda6
hex22890

141456 has 40 divisors (see below), whose sum is σ = 418624. Its totient is φ = 40320.

The previous prime is 141443. The next prime is 141461. The reversal of 141456 is 654141.

141456 = T33 + T34 + ... + T95.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

141456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 546.

2141456 is an apocalyptic number.

141456 is a gapful number since it is divisible by the number (16) 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 141456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209312).

141456 is an abundant number, since it is smaller than the sum of its proper divisors (277168).

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

141456 is a wasteful number, since it uses less digits than its factorization.

141456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 141456 is about 376.1063679333. The cubic root of 141456 is about 52.1043270390.

Adding to 141456 its reverse (654141), we get a palindrome (795597).

The spelling of 141456 in words is "one hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 421 842 1263 1684 2526 2947 3368 5052 5894 6736 8841 10104 11788 17682 20208 23576 35364 47152 70728 141456