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158340 = 223571329
BaseRepresentation
bin100110101010000100
322001012110
4212222010
520031330
63221020
71226430
oct465204
9261173
10158340
11a8a66
1277770
13570c0
14419c0
1531db0
hex26a84

158340 has 96 divisors (see below), whose sum is σ = 564480. Its totient is φ = 32256.

The previous prime is 158329. The next prime is 158341. The reversal of 158340 is 43851.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (158341) 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 31 ways as a sum of consecutive naturals, for example, 5446 + ... + 5474.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2158340 is an apocalyptic number.

158340 is a gapful number since it is divisible by the number (10) 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 158340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

158340 is an abundant number, since it is smaller than the sum of its proper divisors (406140).

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

158340 is a wasteful number, since it uses less digits than its factorization.

158340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 158340 is about 397.9195898671. The cubic root of 158340 is about 54.0999520524.

The spelling of 158340 in words is "one hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 29 30 35 39 42 52 58 60 65 70 78 84 87 91 105 116 130 140 145 156 174 182 195 203 210 260 273 290 348 364 377 390 406 420 435 455 546 580 609 754 780 812 870 910 1015 1092 1131 1218 1365 1508 1740 1820 1885 2030 2262 2436 2639 2730 3045 3770 4060 4524 5278 5460 5655 6090 7540 7917 10556 11310 12180 13195 15834 22620 26390 31668 39585 52780 79170 158340