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138391288 = 237217191093
BaseRepresentation
bin10000011111110…
…10111011111000
3100122102000011021
420033322323320
5240412010123
621422112224
73300210100
oct1017727370
9318360137
10138391288
1171133472
123a41b674
1322896049
1414546200
15c239c5d
hex83faef8

138391288 has 96 divisors (see below), whose sum is σ = 336733200. Its totient is φ = 52835328.

The previous prime is 138391241. The next prime is 138391289. The reversal of 138391288 is 882193831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138391289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126070 + ... + 127162.

Almost surely, 2138391288 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 138391288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168366600).

138391288 is an abundant number, since it is smaller than the sum of its proper divisors (198341912).

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

138391288 is a wasteful number, since it uses less digits than its factorization.

138391288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1138 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The square root of 138391288 is about 11763.9826589468. The cubic root of 138391288 is about 517.2528795927.

The spelling of 138391288 in words is "one hundred thirty-eight million, three hundred ninety-one thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 49 56 68 76 98 119 133 136 152 196 238 266 323 392 476 532 646 833 931 952 1064 1093 1292 1666 1862 2186 2261 2584 3332 3724 4372 4522 6664 7448 7651 8744 9044 15302 15827 18088 18581 20767 30604 31654 37162 41534 53557 61208 63308 74324 83068 107114 126616 130067 145369 148648 166136 214228 260134 290738 353039 428456 520268 581476 706078 910469 1017583 1040536 1162952 1412156 1820938 2035166 2471273 2824312 3641876 4070332 4942546 7283752 8140664 9885092 17298911 19770184 34597822 69195644 138391288