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81335124 = 223313193049
BaseRepresentation
bin1001101100100…
…01001101010100
312200001020211000
410312101031110
5131310210444
612023143300
72005223433
oct466211524
9180036730
1081335124
1141a03312
12232a4b30
1313b09cc0
14ab3311a
157219469
hex4d91354

81335124 has 96 divisors (see below), whose sum is σ = 239120000. Its totient is φ = 23701248.

The previous prime is 81335113. The next prime is 81335129. The reversal of 81335124 is 42153318.

It is a happy number.

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 (81335129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25152 + ... + 28200.

Almost surely, 281335124 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 81335124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119560000).

81335124 is an abundant number, since it is smaller than the sum of its proper divisors (157784876).

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

81335124 is a wasteful number, since it uses less digits than its factorization.

81335124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3086 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 81335124 is about 9018.5987825161. The cubic root of 81335124 is about 433.2707567759.

It can be divided in two parts, 813 and 35124, that added together give a cube (35937 = 333).

The spelling of 81335124 in words is "eighty-one million, three hundred thirty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 3049 4446 6098 6669 8892 9147 12196 13338 18294 26676 27441 36588 39637 54882 57931 79274 82323 109764 115862 118911 158548 164646 173793 231724 237822 329292 347586 356733 475644 521379 695172 713466 753103 1042758 1070199 1426932 1506206 1564137 2085516 2140398 2259309 3012412 3128274 4280796 4518618 6256548 6777927 9037236 13555854 20333781 27111708 40667562 81335124