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155946 = 2374779
BaseRepresentation
bin100110000100101010
321220220210
4212010222
514442241
63201550
71216440
oct460452
9256823
10155946
11a718a
12762b6
1355c9b
1440b90
1531316
hex2612a

155946 has 32 divisors (see below), whose sum is σ = 368640. Its totient is φ = 43056.

The previous prime is 155921. The next prime is 156007. The reversal of 155946 is 649551.

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 155946.

It is an unprimeable number.

155946 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, 1935 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2155946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184320).

155946 is an abundant number, since it is smaller than the sum of its proper divisors (212694).

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

155946 is a wasteful number, since it uses less digits than its factorization.

155946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 5400, while the sum is 30.

The square root of 155946 is about 394.8999873386. The cubic root of 155946 is about 53.8259140049.

The spelling of 155946 in words is "one hundred fifty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 47 79 94 141 158 237 282 329 474 553 658 987 1106 1659 1974 3318 3713 7426 11139 22278 25991 51982 77973 155946