Search a number
-
+
138848700 = 223522320123
BaseRepresentation
bin10000100011010…
…10100110111100
3100200021020121110
420101222212330
5241021124300
621440002020
73304123464
oct1021524674
9320236543
10138848700
11714160a1
123a600310
13229c62c3
1414624ba4
15c2ca550
hex846a9bc

138848700 has 72 divisors (see below), whose sum is σ = 419223168. Its totient is φ = 35414720.

The previous prime is 138848693. The next prime is 138848729. The reversal of 138848700 is 7848831.

It is a super-2 number, since 2×1388487002 = 38557922983380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3162 + ... + 16961.

It is an arithmetic number, because the mean of its divisors is an integer number (5822544).

Almost surely, 2138848700 is an apocalyptic number.

138848700 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 138848700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209611584).

138848700 is an abundant number, since it is smaller than the sum of its proper divisors (280374468).

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

138848700 is a wasteful number, since it uses less digits than its factorization.

138848700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20163 (or 20156 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 138848700 is about 11783.4078262615. The cubic root of 138848700 is about 517.8221290182.

The spelling of 138848700 in words is "one hundred thirty-eight million, eight hundred forty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 20123 40246 60369 80492 100615 120738 201230 241476 301845 402460 462829 503075 603690 925658 1006150 1207380 1388487 1509225 1851316 2012300 2314145 2776974 3018450 4628290 5553948 6036900 6942435 9256580 11570725 13884870 23141450 27769740 34712175 46282900 69424350 138848700