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1976 = 231319
BaseRepresentation
bin11110111000
32201012
4132320
530401
613052
75522
oct3670
92635
101976
111537
121188
13b90
14a12
158bb
hex7b8

1976 has 16 divisors (see below), whose sum is σ = 4200. Its totient is φ = 864.

The previous prime is 1973. The next prime is 1979. The reversal of 1976 is 6791.

Subtracting from 1976 its sum of digits (23), we obtain a triangular number (1953 = T62).

It can be divided in two parts, 19 and 76, that multiplied together give a square (1444 = 382).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1973) and next prime (1979).

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 7 and base 13.

It is a zygodrome in base 7 and base 12.

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 1976.

It is not an unprimeable number, because it can be changed into a prime (1973) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 95 + ... + 113.

1976 is the 26-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100).

1976 is an abundant number, since it is smaller than the sum of its proper divisors (2224).

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

1976 is a wasteful number, since it uses less digits than its factorization.

1976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 34 counting only the distinct ones).

The product of its digits is 378, while the sum is 23.

The square root of 1976 is about 44.4522215418. The cubic root of 1976 is about 12.5486107148.

The spelling of 1976 in words is "one thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1976