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120156 = 223171931
BaseRepresentation
bin11101010101011100
320002211020
4131111130
512321111
62324140
71010211
oct352534
9202736
10120156
1182303
1259650
13428ca
1431b08
1525906
hex1d55c

120156 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 34560.

The previous prime is 120121. The next prime is 120157. The reversal of 120156 is 651021.

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 120156.

It is not an unprimeable number, because it can be changed into a prime (120157) by changing a digit.

120156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3861 + ... + 3891.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2120156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

120156 is an abundant number, since it is smaller than the sum of its proper divisors (202404).

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

120156 is a wasteful number, since it uses less digits than its factorization.

120156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 120156 is about 346.6352549871. The cubic root of 120156 is about 49.3456060693.

Adding to 120156 its reverse (651021), we get a palindrome (771177).

It can be divided in two parts, 12015 and 6, that added together give a palindrome (12021).

The spelling of 120156 in words is "one hundred twenty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 19 31 34 38 51 57 62 68 76 93 102 114 124 186 204 228 323 372 527 589 646 969 1054 1178 1292 1581 1767 1938 2108 2356 3162 3534 3876 6324 7068 10013 20026 30039 40052 60078 120156