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138671720 = 235111718539
BaseRepresentation
bin10000100001111…
…11011001101000
3100122221020211122
420100333121220
5240444443340
621432114412
73302455505
oct1020773150
9318836748
10138671720
1171305130
123a535a08
1322963895
14145ba4ac
15c292db5
hex843f668

138671720 has 64 divisors (see below), whose sum is σ = 360417600. Its totient is φ = 47457280.

The previous prime is 138671713. The next prime is 138671777. The reversal of 138671720 is 27176831.

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 15 ways as a sum of consecutive naturals, for example, 1790 + ... + 16749.

It is an arithmetic number, because the mean of its divisors is an integer number (5631525).

Almost surely, 2138671720 is an apocalyptic number.

138671720 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 138671720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180208800).

138671720 is an abundant number, since it is smaller than the sum of its proper divisors (221745880).

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

138671720 is a wasteful number, since it uses less digits than its factorization.

138671720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18578 (or 18574 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 138671720 is about 11775.8957196470. The cubic root of 138671720 is about 517.6020258284.

The spelling of 138671720 in words is "one hundred thirty-eight million, six hundred seventy-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 18539 37078 74156 92695 148312 185390 203929 315163 370780 407858 630326 741560 815716 1019645 1260652 1575815 1631432 2039290 2521304 3151630 3466793 4078580 6303260 6933586 8157160 12606520 13867172 17333965 27734344 34667930 69335860 138671720