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138066024 = 23341193727
BaseRepresentation
bin10000011101010…
…11100001101000
3100121210110222110
420032223201220
5240321103044
621411122320
73264353565
oct1016534150
9317713873
10138066024
1170a31058
123a2a33a0
13227b0c95
141449d86c
15c1c36b9
hex83ab868

138066024 has 64 divisors (see below), whose sum is σ = 355904640. Its totient is φ = 44605440.

The previous prime is 138066011. The next prime is 138066043. The reversal of 138066024 is 420660831.

It is a junction number, because it is equal to n+sod(n) for n = 138065982 and 138066000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189549 + ... + 190275.

It is an arithmetic number, because the mean of its divisors is an integer number (5561010).

Almost surely, 2138066024 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 138066024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177952320).

138066024 is an abundant number, since it is smaller than the sum of its proper divisors (217838616).

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

138066024 is a wasteful number, since it uses less digits than its factorization.

138066024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 138066024 is about 11750.1499564899. The cubic root of 138066024 is about 516.8473248684.

The spelling of 138066024 in words is "one hundred thirty-eight million, sixty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 193 246 328 386 492 579 727 772 984 1158 1454 1544 2181 2316 2908 4362 4632 5816 7913 8724 15826 17448 23739 29807 31652 47478 59614 63304 89421 94956 119228 140311 178842 189912 238456 280622 357684 420933 561244 715368 841866 1122488 1683732 3367464 5752751 11505502 17258253 23011004 34516506 46022008 69033012 138066024