Search a number
-
+
138943860 = 223511316791
BaseRepresentation
bin10000100100000…
…01110101110100
3100200110002010220
420102001311310
5241032200420
621442014340
73305001066
oct1022016564
9320402126
10138943860
1171480640
123a6473b0
1322a2a703
141464b736
15c2e8840
hex8481d74

138943860 has 96 divisors (see below), whose sum is σ = 438165504. Its totient is φ = 32592000.

The previous prime is 138943859. The next prime is 138943877. The reversal of 138943860 is 68349831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17065 + ... + 23855.

It is an arithmetic number, because the mean of its divisors is an integer number (4564224).

Almost surely, 2138943860 is an apocalyptic number.

138943860 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 138943860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219082752).

138943860 is an abundant number, since it is smaller than the sum of its proper divisors (299221644).

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

138943860 is a wasteful number, since it uses less digits than its factorization.

138943860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6845 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 138943860 is about 11787.4450157784. The cubic root of 138943860 is about 517.9403985230.

The spelling of 138943860 in words is "one hundred thirty-eight million, nine hundred forty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6791 6820 10230 13582 20373 20460 27164 33955 40746 67910 74701 81492 101865 135820 149402 203730 210521 224103 298804 373505 407460 421042 448206 631563 747010 842084 896412 1052605 1120515 1263126 1494020 2105210 2241030 2315731 2526252 3157815 4210420 4482060 4631462 6315630 6947193 9262924 11578655 12631260 13894386 23157310 27788772 34735965 46314620 69471930 138943860