Search a number
-
+
138859434 = 2357517
BaseRepresentation
bin10000100011011…
…01001110101010
3100200021210100000
420101231032222
5241022000214
621440123430
73304200000
oct1021551652
9320253300
10138859434
117142316a
123a606576
13229cb15c
1414628a70
15c2cd809
hex846d3aa

138859434 has 144 divisors (see below), whose sum is σ = 385414848. Its totient is φ = 37340352.

The previous prime is 138859423. The next prime is 138859459. The reversal of 138859434 is 434958831.

138859434 is a `hidden beast` number, since 138 + 85 + 9 + 434 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138859434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8168194 + ... + 8168210.

It is an arithmetic number, because the mean of its divisors is an integer number (2676492).

Almost surely, 2138859434 is an apocalyptic number.

138859434 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 138859434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192707424).

138859434 is an abundant number, since it is smaller than the sum of its proper divisors (246555414).

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

138859434 is an frugal number, since it uses more digits than its factorization.

138859434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 138859434 is about 11783.8632884127. The cubic root of 138859434 is about 517.8354724621.

The spelling of 138859434 in words is "one hundred thirty-eight million, eight hundred fifty-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 81 98 102 119 126 147 153 162 189 238 243 294 306 343 357 378 441 459 486 567 686 714 833 882 918 1029 1071 1134 1323 1377 1666 1701 2058 2142 2401 2499 2646 2754 3087 3213 3402 3969 4131 4802 4998 5831 6174 6426 7203 7497 7938 8262 9261 9639 11662 11907 14406 14994 16807 17493 18522 19278 21609 22491 23814 27783 28917 33614 34986 40817 43218 44982 50421 52479 55566 57834 64827 67473 81634 83349 100842 104958 122451 129654 134946 151263 157437 166698 194481 202419 244902 285719 302526 314874 367353 388962 404838 453789 472311 571438 583443 734706 857157 907578 944622 1102059 1166886 1361367 1416933 1714314 2204118 2571471 2722734 2833866 3306177 4084101 5142942 6612354 7714413 8168202 9918531 15428826 19837062 23143239 46286478 69429717 138859434