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1960 = 23572
BaseRepresentation
bin11110101000
32200121
4132220
530320
613024
75500
oct3650
92617
101960
111522
121174
13b7a
14a00
158aa
hex7a8

1960 has 24 divisors (see below), whose sum is σ = 5130. Its totient is φ = 672.

The previous prime is 1951. The next prime is 1973. The reversal of 1960 is 691.

It can be divided in two parts, 1 and 960, that added together give a square (961 = 312).

It can be written as a sum of positive squares in only one way, i.e., 1764 + 196 = 42^2 + 14^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is an unprimeable number.

1960 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 5 ways as a sum of consecutive naturals, for example, 277 + ... + 283.

1960 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 1960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565).

1960 is an abundant number, since it is smaller than the sum of its proper divisors (3170).

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

1960 is a wasteful number, since it uses less digits than its factorization.

1960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1960 is about 44.2718872424. The cubic root of 1960 is about 12.5146494914.

The spelling of 1960 in words is "one thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960