Search a number
-
+
156546 = 23313223
BaseRepresentation
bin100110001110000010
321221202000
4212032002
520002141
63204430
71221255
oct461602
9257660
10156546
11a7685
1276716
1356340
144109c
15315b6
hex26382

156546 has 32 divisors (see below), whose sum is σ = 376320. Its totient is φ = 47952.

The previous prime is 156539. The next prime is 156577. The reversal of 156546 is 645651.

It is a happy number.

156546 is a `hidden beast` number, since 1 + 5 + 654 + 6 = 666.

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

It is an unprimeable number.

156546 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 15 ways as a sum of consecutive naturals, for example, 591 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2156546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160).

156546 is an abundant number, since it is smaller than the sum of its proper divisors (219774).

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

156546 is a wasteful number, since it uses less digits than its factorization.

156546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 156546 is about 395.6589440415. The cubic root of 156546 is about 53.8948571386.

It can be divided in two parts, 15 and 6546, that added together give a 8-th power (6561 = 38).

The spelling of 156546 in words is "one hundred fifty-six thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 223 234 351 446 669 702 1338 2007 2899 4014 5798 6021 8697 12042 17394 26091 52182 78273 156546