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138862260 = 223251922137
BaseRepresentation
bin10000100011011…
…01111010110100
3100200021221012200
420101231322310
5241022043020
621440144500
73304211145
oct1021557264
9320257180
10138862260
11714252a9
123a608130
13229cc524
1414629acc
15c2ce590
hex846deb4

138862260 has 108 divisors (see below), whose sum is σ = 444759588. Its totient is φ = 35064576.

The previous prime is 138862259. The next prime is 138862271. The reversal of 138862260 is 62268831.

138862260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24029604 + 114832656 = 4902^2 + 10716^2 .

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, 63912 + ... + 66048.

Almost surely, 2138862260 is an apocalyptic number.

138862260 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 138862260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222379794).

138862260 is an abundant number, since it is smaller than the sum of its proper divisors (305897328).

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

138862260 is a wasteful number, since it uses less digits than its factorization.

138862260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 138862260 is about 11783.9831975440. The cubic root of 138862260 is about 517.8389853506.

The spelling of 138862260 in words is "one hundred thirty-eight million, eight hundred sixty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 570 684 722 855 1083 1140 1444 1710 1805 2137 2166 3249 3420 3610 4274 4332 5415 6411 6498 7220 8548 10685 10830 12822 12996 16245 19233 21370 21660 25644 32055 32490 38466 40603 42740 64110 64980 76932 81206 96165 121809 128220 162412 192330 203015 243618 365427 384660 406030 487236 609045 730854 771457 812060 1218090 1461708 1542914 1827135 2314371 2436180 3085828 3654270 3857285 4628742 6943113 7308540 7714570 9257484 11571855 13886226 15429140 23143710 27772452 34715565 46287420 69431130 138862260