Search a number
-
+
156560 = 24519103
BaseRepresentation
bin100110001110010000
321221202112
4212032100
520002220
63204452
71221305
oct461620
9257675
10156560
11a7698
1276728
1356351
14410ac
15315c5
hex26390

156560 has 40 divisors (see below), whose sum is σ = 386880. Its totient is φ = 58752.

The previous prime is 156539. The next prime is 156577. The reversal of 156560 is 65651.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1565602 = 49022067200, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 156560.

It is an unprimeable number.

156560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1469 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2156560 is an apocalyptic number.

156560 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 156560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440).

156560 is an abundant number, since it is smaller than the sum of its proper divisors (230320).

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

156560 is a wasteful number, since it uses less digits than its factorization.

156560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 156560 is about 395.6766356509. The cubic root of 156560 is about 53.8964637069.

Subtracting from 156560 its reverse (65651), we obtain a palindrome (90909).

The spelling of 156560 in words is "one hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 103 152 190 206 304 380 412 515 760 824 1030 1520 1648 1957 2060 3914 4120 7828 8240 9785 15656 19570 31312 39140 78280 156560