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81240124 = 22719791933
BaseRepresentation
bin1001101011110…
…10000000111100
312122212102111111
410311322000330
5131244140444
612021131404
72004346450
oct465720074
9178772444
1081240124
11419489a9
1223259b64
1313aa59a4
14ab0a660
1571eb234
hex4d7a03c

81240124 has 48 divisors (see below), whose sum is σ = 173286400. Its totient is φ = 32550336.

The previous prime is 81240101. The next prime is 81240139. The reversal of 81240124 is 42104218.

It is a junction number, because it is equal to n+sod(n) for n = 81240095 and 81240104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41062 + ... + 42994.

Almost surely, 281240124 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 81240124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86643200).

81240124 is an abundant number, since it is smaller than the sum of its proper divisors (92046276).

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

81240124 is a wasteful number, since it uses less digits than its factorization.

81240124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 81240124 is about 9013.3303500981. The cubic root of 81240124 is about 433.1020032878.

The spelling of 81240124 in words is "eighty-one million, two hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 79 133 158 266 316 532 553 1106 1501 1933 2212 3002 3866 6004 7732 10507 13531 21014 27062 36727 42028 54124 73454 146908 152707 257089 305414 514178 610828 1028356 1068949 2137898 2901433 4275796 5802866 11605732 20310031 40620062 81240124