Search a number
-
+
138822660 = 22345671279
BaseRepresentation
bin10000100011001…
…00010000000100
3100200012220220000
420101210100010
5241014311120
621435241300
73303654534
oct1021442004
9320186800
10138822660
11713a8579
123a5a9230
13229b74b2
14146194c4
15c2c2990
hex8464404

138822660 has 120 divisors (see below), whose sum is σ = 442337280. Its totient is φ = 36438336.

The previous prime is 138822659. The next prime is 138822667. The reversal of 138822660 is 66228831.

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

It is not an unprimeable number, because it can be changed into a prime (138822667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107901 + ... + 109179.

It is an arithmetic number, because the mean of its divisors is an integer number (3686144).

Almost surely, 2138822660 is an apocalyptic number.

138822660 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 138822660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221168640).

138822660 is an abundant number, since it is smaller than the sum of its proper divisors (303514620).

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

138822660 is a wasteful number, since it uses less digits than its factorization.

138822660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1356 counting only the distinct ones).

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

The square root of 138822660 is about 11782.3028309410. The cubic root of 138822660 is about 517.7897558156.

The spelling of 138822660 in words is "one hundred thirty-eight million, eight hundred twenty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 162 180 201 268 270 324 335 402 405 540 603 670 804 810 1005 1206 1279 1340 1620 1809 2010 2412 2558 3015 3618 3837 4020 5116 5427 6030 6395 7236 7674 9045 10854 11511 12060 12790 15348 18090 19185 21708 23022 25580 27135 34533 36180 38370 46044 54270 57555 69066 76740 85693 103599 108540 115110 138132 171386 172665 207198 230220 257079 342772 345330 414396 428465 514158 517995 690660 771237 856930 1028316 1035990 1285395 1542474 1713860 2071980 2313711 2570790 3084948 3856185 4627422 5141580 6941133 7712370 9254844 11568555 13882266 15424740 23137110 27764532 34705665 46274220 69411330 138822660