Search a number
-
+
141864 = 23323257
BaseRepresentation
bin100010101000101000
321012121020
4202220220
514014424
63012440
71130412
oct425050
9235536
10141864
1197648
126a120
134c758
14399b2
152c079
hex22a28

141864 has 32 divisors (see below), whose sum is σ = 371520. Its totient is φ = 45056.

The previous prime is 141863. The next prime is 141871. The reversal of 141864 is 468141.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (141863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (11610).

2141864 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 141864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185760).

141864 is an abundant number, since it is smaller than the sum of its proper divisors (229656).

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

141864 is a wasteful number, since it uses less digits than its factorization.

141864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 141864 is about 376.6483771371. The cubic root of 141864 is about 52.1543736011.

The spelling of 141864 in words is "one hundred forty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 257 276 514 552 771 1028 1542 2056 3084 5911 6168 11822 17733 23644 35466 47288 70932 141864