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BaseRepresentation
bin11110100100
32200110
4132210
530311
613020
75463
oct3644
92613
101956
111519
121170
13b76
149da
158a6
hex7a4

1956 has 12 divisors (see below), whose sum is σ = 4592. Its totient is φ = 648.

The previous prime is 1951. The next prime is 1973. The reversal of 1956 is 6591.

1956 = T18 + T19 + ... + T25.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1951) by changing a digit.

1956 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 3 ways as a sum of consecutive naturals, for example, 70 + ... + 93.

1956 is the 24-th nonagonal number.

It is an amenable number.

1956 is an abundant number, since it is smaller than the sum of its proper divisors (2636).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296).

1956 is a wasteful number, since it uses less digits than its factorization.

1956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 1956 is about 44.2266887750. The cubic root of 1956 is about 12.5061303264.

The spelling of 1956 in words is "one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 163 326 489 652 978 1956