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138071484 = 223217223577
BaseRepresentation
bin10000011101011…
…00110110111100
3100121210202110200
420032230312330
5240321241414
621411203500
73264405525
oct1016546674
9317722420
10138071484
1170a35171
123a2a6590
13227b3605
14144a184c
15c1c5109
hex83acdbc

138071484 has 108 divisors (see below), whose sum is σ = 387542064. Its totient is φ = 41361408.

The previous prime is 138071459. The next prime is 138071503. The reversal of 138071484 is 484170831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239004 + ... + 239580.

Almost surely, 2138071484 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 138071484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193771032).

138071484 is an abundant number, since it is smaller than the sum of its proper divisors (249470580).

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

138071484 is a wasteful number, since it uses less digits than its factorization.

138071484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 138071484 is about 11750.3822916533. The cubic root of 138071484 is about 516.8541379112.

The spelling of 138071484 in words is "one hundred thirty-eight million, seventy-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 289 306 391 414 577 578 612 782 828 867 1154 1156 1173 1564 1731 1734 2308 2346 2601 3462 3468 3519 4692 5193 5202 6647 6924 7038 9809 10386 10404 13271 13294 14076 19618 19941 20772 26542 26588 29427 39236 39813 39882 53084 58854 59823 79626 79764 88281 117708 119439 119646 159252 166753 176562 225607 238878 239292 333506 353124 451214 477756 500259 667012 676821 902428 1000518 1353642 1500777 2001036 2030463 2707284 3001554 3835319 4060926 6003108 7670638 8121852 11505957 15341276 23011914 34517871 46023828 69035742 138071484