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138917394 = 232711731373
BaseRepresentation
bin10000100011110…
…11011000010010
3100200101201211200
420101323120102
5241030324034
621441252030
73304530660
oct1021733022
9320351750
10138917394
1171462770
123a634016
1322a1b655
1414641c30
15c2e0a99
hex847b612

138917394 has 96 divisors (see below), whose sum is σ = 380674944. Its totient is φ = 35562240.

The previous prime is 138917381. The next prime is 138917411. The reversal of 138917394 is 493719831.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100492 + ... + 101864.

It is an arithmetic number, because the mean of its divisors is an integer number (3965364).

Almost surely, 2138917394 is an apocalyptic number.

138917394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138917394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190337472).

138917394 is an abundant number, since it is smaller than the sum of its proper divisors (241757550).

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

138917394 is a wasteful number, since it uses less digits than its factorization.

138917394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1469 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 138917394 is about 11786.3223271723. The cubic root of 138917394 is about 517.9075107053.

The spelling of 138917394 in words is "one hundred thirty-eight million, nine hundred seventeen thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 73 77 99 126 146 154 198 219 231 438 462 511 657 693 803 1022 1314 1373 1386 1533 1606 2409 2746 3066 4119 4599 4818 5621 7227 8238 9198 9611 11242 12357 14454 15103 16863 19222 24714 28833 30206 33726 45309 50589 57666 86499 90618 100229 101178 105721 135927 172998 200458 211442 271854 300687 317163 601374 634326 701603 902061 951489 1102519 1403206 1804122 1902978 2104809 2205038 3307557 4209618 6314427 6615114 7717633 9922671 12628854 15435266 19845342 23152899 46305798 69458697 138917394