Search a number
-
+
138495744 = 28346679
BaseRepresentation
bin10000100000101…
…00011100000000
3100122121022110000
420100110130000
5240423330434
621424240000
73301123452
oct1020243400
9318538400
10138495744
11711a49a2
123a470000
132290175a
14145722d2
15c25ab99
hex8414700

138495744 has 90 divisors (see below), whose sum is σ = 413031080. Its totient is φ = 46158336.

The previous prime is 138495739. The next prime is 138495761. The reversal of 138495744 is 447594831.

138495744 is a `hidden beast` number, since 1 + 38 + 49 + 574 + 4 = 666.

It is a super-2 number, since 2×1384957442 = 38362142212227072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138495744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17397 + ... + 24075.

Almost surely, 2138495744 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 138495744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206515540).

138495744 is an abundant number, since it is smaller than the sum of its proper divisors (274535336).

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

138495744 is an frugal number, since it uses more digits than its factorization.

138495744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6684 counting only the distinct ones).

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

The square root of 138495744 is about 11768.4214744374. The cubic root of 138495744 is about 517.3829855155.

The spelling of 138495744 in words is "one hundred thirty-eight million, four hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6679 6912 10368 13358 20037 20736 26716 40074 53432 60111 80148 106864 120222 160296 180333 213728 240444 320592 360666 427456 480888 540999 641184 721332 854912 961776 1081998 1282368 1442664 1709824 1923552 2163996 2564736 2885328 3847104 4327992 5129472 5770656 7694208 8655984 11541312 15388416 17311968 23082624 34623936 46165248 69247872 138495744