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138771376 = 24311272203
BaseRepresentation
bin10000100010101…
…11101110110000
3100200010022112121
420101113232300
5241011141001
621434204024
73303352162
oct1021275660
9320108477
10138771376
1171372a97
123a583614
132299a053
1414604932
15c2b26a1
hex8457bb0

138771376 has 40 divisors (see below), whose sum is σ = 279855104. Its totient is φ = 66588480.

The previous prime is 138771359. The next prime is 138771379. The reversal of 138771376 is 673177831.

It is not an unprimeable number, because it can be changed into a prime (138771379) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 61891 + ... + 64093.

Almost surely, 2138771376 is an apocalyptic number.

138771376 is a gapful number since it is divisible by the number (16) 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 138771376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139927552).

138771376 is an abundant number, since it is smaller than the sum of its proper divisors (141083728).

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

138771376 is a wasteful number, since it uses less digits than its factorization.

138771376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2363 counting only the distinct ones).

The product of its digits is 148176, while the sum is 43.

The square root of 138771376 is about 11780.1263151122. The cubic root of 138771376 is about 517.7259871667.

The spelling of 138771376 in words is "one hundred thirty-eight million, seven hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 31 62 124 127 248 254 496 508 1016 2032 2203 3937 4406 7874 8812 15748 17624 31496 35248 62992 68293 136586 273172 279781 546344 559562 1092688 1119124 2238248 4476496 8673211 17346422 34692844 69385688 138771376