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138869460 = 223253141607
BaseRepresentation
bin10000100011011…
…11101011010100
3100200022022002100
420101233223110
5241022310320
621440242100
73304241142
oct1021575324
9320268070
10138869460
117142a754
123a610330
1322a028a2
141462c592
15c2d1790
hex846fad4

138869460 has 144 divisors (see below), whose sum is σ = 446164992. Its totient is φ = 34905600.

The previous prime is 138869431. The next prime is 138869477. The reversal of 138869460 is 64968831.

138869460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228477 + ... + 229083.

It is an arithmetic number, because the mean of its divisors is an integer number (3098368).

Almost surely, 2138869460 is an apocalyptic number.

138869460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138869460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223082496).

138869460 is an abundant number, since it is smaller than the sum of its proper divisors (307295532).

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

138869460 is a wasteful number, since it uses less digits than its factorization.

138869460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 138869460 is about 11784.2886930014. The cubic root of 138869460 is about 517.8479351695.

The spelling of 138869460 in words is "one hundred thirty-eight million, eight hundred sixty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 123 124 155 164 180 186 205 246 279 310 369 372 410 465 492 558 607 615 620 738 820 930 1116 1214 1230 1271 1395 1476 1821 1845 1860 2428 2460 2542 2790 3035 3642 3690 3813 5084 5463 5580 6070 6355 7284 7380 7626 9105 10926 11439 12140 12710 15252 18210 18817 19065 21852 22878 24887 25420 27315 36420 37634 38130 45756 49774 54630 56451 57195 74661 75268 76260 94085 99548 109260 112902 114390 124435 149322 169353 188170 223983 225804 228780 248870 282255 298644 338706 373305 376340 447966 497740 564510 677412 746610 771497 846765 895932 1119915 1129020 1493220 1542994 1693530 2239830 2314491 3085988 3387060 3857485 4479660 4628982 6943473 7714970 9257964 11572455 13886946 15429940 23144910 27773892 34717365 46289820 69434730 138869460