Search a number
-
+
141904 = 2472181
BaseRepresentation
bin100010101001010000
321012122201
4202221100
514020104
63012544
71130500
oct425120
9235581
10141904
1197684
126a154
134c789
1439a00
152c0a4
hex22a50

141904 has 30 divisors (see below), whose sum is σ = 321594. Its totient is φ = 60480.

The previous prime is 141871. The next prime is 141907. The reversal of 141904 is 409141.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 63504 = 280^2 + 252^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141907) by changing a digit.

141904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 694 + ... + 874.

2141904 is an apocalyptic number.

141904 is a gapful number since it is divisible by the number (14) 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 141904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160797).

141904 is an abundant number, since it is smaller than the sum of its proper divisors (179690).

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

141904 is a wasteful number, since it uses less digits than its factorization.

141904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 141904 is about 376.7014733181. The cubic root of 141904 is about 52.1592749595.

It can be divided in two parts, 1 and 41904, that added together give a triangular number (41905 = T289).

The spelling of 141904 in words is "one hundred forty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 181 196 362 392 724 784 1267 1448 2534 2896 5068 8869 10136 17738 20272 35476 70952 141904