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138272730 = 235171371979
BaseRepresentation
bin10000011110111…
…01111111011010
3100122011222112020
420033131333122
5240344211410
621415355310
73266204331
oct1017357732
9318158466
10138272730
1171062392
123a382b36
13228540ab
1414514d18
15c214a70
hex83ddfda

138272730 has 64 divisors (see below), whose sum is σ = 354119040. Its totient is φ = 34433024.

The previous prime is 138272723. The next prime is 138272749. The reversal of 138272730 is 37272831.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 138272691 and 138272700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68881 + ... + 70859.

It is an arithmetic number, because the mean of its divisors is an integer number (5533110).

Almost surely, 2138272730 is an apocalyptic number.

138272730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138272730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177059520).

138272730 is an abundant number, since it is smaller than the sum of its proper divisors (215846310).

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

138272730 is a wasteful number, since it uses less digits than its factorization.

138272730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 138272730 is about 11758.9425544987. The cubic root of 138272730 is about 517.1051294752.

The spelling of 138272730 in words is "one hundred thirty-eight million, two hundred seventy-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 137 170 255 274 411 510 685 822 1370 1979 2055 2329 3958 4110 4658 5937 6987 9895 11645 11874 13974 19790 23290 29685 33643 34935 59370 67286 69870 100929 168215 201858 271123 336430 504645 542246 813369 1009290 1355615 1626738 2711230 4066845 4609091 8133690 9218182 13827273 23045455 27654546 46090910 69136365 138272730