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138368286 = 23272574273
BaseRepresentation
bin10000011111101…
…01010100011110
3100122100211121100
420033311110132
5240410241121
621421413530
73300053040
oct1017652436
9318324540
10138368286
1171118161
123a40a2a6
1322888734
141453ba90
15c233026
hex83f551e

138368286 has 48 divisors (see below), whose sum is σ = 344039904. Its totient is φ = 39370752.

The previous prime is 138368273. The next prime is 138368291. The reversal of 138368286 is 682863831.

138368286 is a `hidden beast` number, since 1 + 3 + 8 + 368 + 286 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30246 + ... + 34518.

It is an arithmetic number, because the mean of its divisors is an integer number (7167498).

Almost surely, 2138368286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138368286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172019952).

138368286 is an abundant number, since it is smaller than the sum of its proper divisors (205671618).

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

138368286 is a wasteful number, since it uses less digits than its factorization.

138368286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4542 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 138368286 is about 11763.0049732201. The cubic root of 138368286 is about 517.2242204910.

It can be divided in two parts, 13836 and 8286, that added together give a palindrome (22122).

The spelling of 138368286 in words is "one hundred thirty-eight million, three hundred sixty-eight thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 257 514 771 1542 1799 2313 3598 4273 4626 5397 8546 10794 12819 16191 25638 29911 32382 38457 59822 76914 89733 179466 269199 538398 1098161 2196322 3294483 6588966 7687127 9883449 15374254 19766898 23061381 46122762 69184143 138368286