Search a number
-
+
158760 = 2334572
BaseRepresentation
bin100110110000101000
322001210000
4212300220
520040020
63223000
71230600
oct466050
9261700
10158760
11a9308
1277a60
1357354
1441c00
1532090
hex26c28

158760 has 120 divisors (see below), whose sum is σ = 620730. Its totient is φ = 36288.

The previous prime is 158759. The next prime is 158761. The reversal of 158760 is 67851.

It is an interprime number because it is at equal distance from previous prime (158759) and next prime (158761).

It can be written as a sum of positive squares in only one way, i.e., 142884 + 15876 = 378^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (158761) 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 29 ways as a sum of consecutive naturals, for example, 22677 + ... + 22683.

2158760 is an apocalyptic number.

158760 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 158760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310365).

158760 is an abundant number, since it is smaller than the sum of its proper divisors (461970).

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

158760 is a wasteful number, since it uses less digits than its factorization.

158760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 158760 is about 398.4469851812. The cubic root of 158760 is about 54.1477435544.

Subtracting from 158760 its product of nonzero digits (1680), we obtain a triangular number (157080 = T560).

Subtracting from 158760 its reverse (67851), we obtain a palindrome (90909).

The spelling of 158760 in words is "one hundred fifty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 49 54 56 60 63 70 72 81 84 90 98 105 108 120 126 135 140 147 162 168 180 189 196 210 216 245 252 270 280 294 315 324 360 378 392 405 420 441 490 504 540 567 588 630 648 735 756 810 840 882 945 980 1080 1134 1176 1260 1323 1470 1512 1620 1764 1890 1960 2205 2268 2520 2646 2835 2940 3240 3528 3780 3969 4410 4536 5292 5670 5880 6615 7560 7938 8820 10584 11340 13230 15876 17640 19845 22680 26460 31752 39690 52920 79380 158760