Search a number
-
+
138784536 = 23331158411
BaseRepresentation
bin10000100010110…
…10111100011000
3100200010222121000
420101122330120
5241012101121
621434345000
73303435432
oct1021327430
9320128530
10138784536
1171381970
123a58b160
13229a3037
1414609652
15c2b6526
hex845af18

138784536 has 64 divisors (see below), whose sum is σ = 420566400. Its totient is φ = 42055200.

The previous prime is 138784519. The next prime is 138784559. The reversal of 138784536 is 635487831.

138784536 is a `hidden beast` number, since 1 + 38 + 7 + 84 + 536 = 666.

It is a super-2 number, since 2×1387845362 = 38522294865470592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138784491 and 138784500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26830 + ... + 31581.

It is an arithmetic number, because the mean of its divisors is an integer number (6571350).

Almost surely, 2138784536 is an apocalyptic number.

It is an amenable number.

138784536 is an abundant number, since it is smaller than the sum of its proper divisors (281781864).

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

138784536 is a wasteful number, since it uses less digits than its factorization.

138784536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58437 (or 58427 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 138784536 is about 11780.6848697349. The cubic root of 138784536 is about 517.7423523539.

The spelling of 138784536 in words is "one hundred thirty-eight million, seven hundred eighty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 58411 116822 175233 233644 350466 467288 525699 642521 700932 1051398 1285042 1401864 1577097 1927563 2102796 2570084 3154194 3855126 4205592 5140168 5782689 6308388 7710252 11565378 12616776 15420504 17348067 23130756 34696134 46261512 69392268 138784536