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141408 = 2532491
BaseRepresentation
bin100010100001100000
321011222100
4202201200
514011113
63010400
71126161
oct424140
9234870
10141408
1197273
1269a00
134c497
1439768
152bd73
hex22860

141408 has 36 divisors (see below), whose sum is σ = 402948. Its totient is φ = 47040.

The previous prime is 141403. The next prime is 141413. The reversal of 141408 is 804141.

It is an interprime number because it is at equal distance from previous prime (141403) and next prime (141413).

It is a tau number, because it is divible by the number of its divisors (36).

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 (141403) by changing a digit.

141408 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 5 ways as a sum of consecutive naturals, for example, 43 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (11193).

2141408 is an apocalyptic number.

141408 is a gapful number since it is divisible by the number (18) 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 141408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201474).

141408 is an abundant number, since it is smaller than the sum of its proper divisors (261540).

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

141408 is a wasteful number, since it uses less digits than its factorization.

141408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 141408 is about 376.0425507838. The cubic root of 141408 is about 52.0984328843.

Adding to 141408 its reverse (804141), we get a palindrome (945549).

The spelling of 141408 in words is "one hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 491 982 1473 1964 2946 3928 4419 5892 7856 8838 11784 15712 17676 23568 35352 47136 70704 141408