Search a number
-
+
138879872 = 277389167
BaseRepresentation
bin10000100011100…
…10001110000000
3100200022211100222
420101302032000
5241023123442
621440402212
73304313405
oct1021621600
9320284328
10138879872
117143755a
123a616368
1322a07551
14146322ac
15c2d48d2
hex8472380

138879872 has 64 divisors (see below), whose sum is σ = 285314400. Its totient is φ = 67313664.

The previous prime is 138879863. The next prime is 138879929. The reversal of 138879872 is 278978831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831533 + ... + 831699.

Almost surely, 2138879872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142657200).

138879872 is an abundant number, since it is smaller than the sum of its proper divisors (146434528).

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

138879872 is an equidigital number, since it uses as much as digits as its factorization.

138879872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 53.

The square root of 138879872 is about 11784.7304593699. The cubic root of 138879872 is about 517.8608770550.

The spelling of 138879872 in words is "one hundred thirty-eight million, eight hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 73 89 128 146 167 178 292 334 356 584 668 712 1168 1336 1424 2336 2672 2848 4672 5344 5696 6497 9344 10688 11392 12191 12994 14863 21376 24382 25988 29726 48764 51976 59452 97528 103952 118904 195056 207904 237808 390112 415808 475616 780224 831616 951232 1084999 1560448 1902464 2169998 4339996 8679992 17359984 34719968 69439936 138879872