Search a number
-
+
76400 = 2452191
BaseRepresentation
bin10010101001110000
310212210122
4102221300
54421100
61345412
7435512
oct225160
9125718
1076400
1152445
1238268
1328a0c
141dbb2
1517985
hex12a70

76400 has 30 divisors (see below), whose sum is σ = 184512. Its totient is φ = 30400.

The previous prime is 76387. The next prime is 76403. The reversal of 76400 is 467.

It is a nialpdrome in base 5 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76403) 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 5 ways as a sum of consecutive naturals, for example, 305 + ... + 495.

276400 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 76400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92256).

76400 is an abundant number, since it is smaller than the sum of its proper divisors (108112).

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

76400 is a wasteful number, since it uses less digits than its factorization.

76400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 76400 is about 276.4054992217. The cubic root of 76400 is about 42.4324185437.

Adding to 76400 its reverse (467), we get a palindrome (76867).

The spelling of 76400 in words is "seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 191 200 382 400 764 955 1528 1910 3056 3820 4775 7640 9550 15280 19100 38200 76400