Search a number
-
+
71596 = 2272557
BaseRepresentation
bin10001011110101100
310122012201
4101132230
54242341
61311244
7415510
oct213654
9118181
1071596
1149878
1235524
1326785
141c140
1516331
hex117ac

71596 has 12 divisors (see below), whose sum is σ = 143248. Its totient is φ = 30672.

The previous prime is 71593. The next prime is 71597. The reversal of 71596 is 69517.

It is a happy number.

71596 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 2557 = 71596 / (7 + 1 + 5 + 9 + 6).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (71593) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251 + ... + 1306.

271596 is an apocalyptic number.

It is an amenable number.

71596 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (71624).

71596 is a wasteful number, since it uses less digits than its factorization.

71596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2566 counting only the distinct ones).

The product of its digits is 1890, while the sum is 28.

The square root of 71596 is about 267.5742887499. The cubic root of 71596 is about 41.5237199281.

The spelling of 71596 in words is "seventy-one thousand, five hundred ninety-six".

Divisors: 1 2 4 7 14 28 2557 5114 10228 17899 35798 71596