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138332672 = 291723691
BaseRepresentation
bin10000011111011…
…00101000000000
3100122022000202022
420033230220000
5240403121142
621420541012
73266544152
oct1017545000
9318260668
10138332672
11710a3425
123a3b1768
132287546a
141452cad2
15c2276d2
hex83eca00

138332672 has 80 divisors (see below), whose sum is σ = 305819712. Its totient is φ = 62177280.

The previous prime is 138332669. The next prime is 138332681. The reversal of 138332672 is 276233831.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199847 + ... + 200537.

Almost surely, 2138332672 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 138332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152909856).

138332672 is an abundant number, since it is smaller than the sum of its proper divisors (167487040).

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

138332672 is an equidigital number, since it uses as much as digits as its factorization.

138332672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 733 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 138332672 is about 11761.4910619360. The cubic root of 138332672 is about 517.1798413332.

The spelling of 138332672 in words is "one hundred thirty-eight million, three hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 512 544 691 736 782 1088 1382 1472 1564 2176 2764 2944 3128 4352 5528 5888 6256 8704 11056 11747 11776 12512 15893 22112 23494 25024 31786 44224 46988 50048 63572 88448 93976 100096 127144 176896 187952 200192 254288 270181 353792 375904 508576 540362 751808 1017152 1080724 1503616 2034304 2161448 3007232 4068608 4322896 6014464 8137216 8645792 17291584 34583168 69166336 138332672