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71136 = 25321319
BaseRepresentation
bin10001010111100000
310121120200
4101113200
54234021
61305200
7414252
oct212740
9117520
1071136
114949a
1235200
13264c0
141bcd2
1516126
hex115e0

71136 has 72 divisors (see below), whose sum is σ = 229320. Its totient is φ = 20736.

The previous prime is 71129. The next prime is 71143. The reversal of 71136 is 63117.

It is an interprime number because it is at equal distance from previous prime (71129) and next prime (71143).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

71136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 3735 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (3185).

271136 is an apocalyptic number.

71136 is a gapful number since it is divisible by the number (76) 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 71136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114660).

71136 is an abundant number, since it is smaller than the sum of its proper divisors (158184).

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

71136 is a wasteful number, since it uses less digits than its factorization.

71136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 37 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 71136 is about 266.7133292507. The cubic root of 71136 is about 41.4345996550.

It can be divided in two parts, 711 and 36, that added together give a palindrome (747).

The spelling of 71136 in words is "seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1248 1368 1482 1824 1872 1976 2223 2736 2964 3744 3952 4446 5472 5928 7904 8892 11856 17784 23712 35568 71136