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81113724 = 2234793169
BaseRepresentation
bin1001101010110…
…11001001111100
312122122000010000
410311123021330
5131231114344
612014314300
72003312106
oct465331174
9178560100
1081113724
1141871a3a
12231b8990
1313a602b3
14aab6576
1571c3a69
hex4d5b27c

81113724 has 60 divisors (see below), whose sum is σ = 214799200. Its totient is φ = 26687232.

The previous prime is 81113723. The next prime is 81113761. The reversal of 81113724 is 42731118.

It is a super-3 number, since 3×811137243 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81113723) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24012 + ... + 27180.

Almost surely, 281113724 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 81113724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107399600).

81113724 is an abundant number, since it is smaller than the sum of its proper divisors (133685476).

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

81113724 is a wasteful number, since it uses less digits than its factorization.

81113724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3253 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 81113724 is about 9006.3157839374. The cubic root of 81113724 is about 432.8772682396.

It can be divided in two parts, 811 and 13724, that added together give a triangular number (14535 = T170).

The spelling of 81113724 in words is "eighty-one million, one hundred thirteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 948 1422 2133 2844 3169 4266 6338 6399 8532 9507 12676 12798 19014 25596 28521 38028 57042 85563 114084 171126 250351 256689 342252 500702 513378 751053 1001404 1026756 1502106 2253159 3004212 4506318 6759477 9012636 13518954 20278431 27037908 40556862 81113724