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158424 = 23372341
BaseRepresentation
bin100110101011011000
322001022120
4212223120
520032144
63221240
71226610
oct465330
9261276
10158424
11a9032
1277820
1357156
1441a40
1531e19
hex26ad8

158424 has 64 divisors (see below), whose sum is σ = 483840. Its totient is φ = 42240.

The previous prime is 158419. The next prime is 158429. The reversal of 158424 is 424851.

158424 = T27 + T28 + ... + T98.

158424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (158419) and next prime (158429).

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

Its product of digits (1280) is a multiple of the sum of its prime factors (80).

It is a junction number, because it is equal to n+sod(n) for n = 158394 and 158403.

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 158424.

It is not an unprimeable number, because it can be changed into a prime (158429) by changing a digit.

158424 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 15 ways as a sum of consecutive naturals, for example, 3844 + ... + 3884.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2158424 is an apocalyptic number.

158424 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 158424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

158424 is an abundant number, since it is smaller than the sum of its proper divisors (325416).

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

158424 is a wasteful number, since it uses less digits than its factorization.

158424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 158424 is about 398.0251248351. The cubic root of 158424 is about 54.1095171078.

The spelling of 158424 in words is "one hundred fifty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 41 42 46 56 69 82 84 92 123 138 161 164 168 184 246 276 287 322 328 483 492 552 574 644 861 943 966 984 1148 1288 1722 1886 1932 2296 2829 3444 3772 3864 5658 6601 6888 7544 11316 13202 19803 22632 26404 39606 52808 79212 158424