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158984 = 23717167
BaseRepresentation
bin100110110100001000
322002002022
4212310020
520041414
63224012
71231340
oct466410
9262068
10158984
11a94a1
1278008
1357497
1441d20
153218e
hex26d08

158984 has 32 divisors (see below), whose sum is σ = 362880. Its totient is φ = 63744.

The previous prime is 158981. The next prime is 158993. The reversal of 158984 is 489851.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 158984.

It is not an unprimeable number, because it can be changed into a prime (158981) 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, 869 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2158984 is an apocalyptic number.

158984 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 158984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

158984 is an abundant number, since it is smaller than the sum of its proper divisors (203896).

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

158984 is a wasteful number, since it uses less digits than its factorization.

158984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its digits is 11520, while the sum is 35.

The square root of 158984 is about 398.7279774483. The cubic root of 158984 is about 54.1731978975.

It can be divided in two parts, 1 and 58984, that added together give a palindrome (58985).

The spelling of 158984 in words is "one hundred fifty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 167 238 334 476 668 952 1169 1336 2338 2839 4676 5678 9352 11356 19873 22712 39746 79492 158984