Search a number
-
+
138986430 = 235113711383
BaseRepresentation
bin10000100100011…
…00001110111110
3100200112020112120
420102030032332
5241040031210
621442543410
73305236152
oct1022141676
9320466476
10138986430
11714aa620
123a667b66
1322a43bbb
141465d062
15c306270
hex848c3be

138986430 has 64 divisors (see below), whose sum is σ = 373759488. Its totient is φ = 32780160.

The previous prime is 138986417. The next prime is 138986437. The reversal of 138986430 is 34689831.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138986437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6519 + ... + 17901.

It is an arithmetic number, because the mean of its divisors is an integer number (5839992).

Almost surely, 2138986430 is an apocalyptic number.

138986430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138986430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186879744).

138986430 is an abundant number, since it is smaller than the sum of its proper divisors (234773058).

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

138986430 is a wasteful number, since it uses less digits than its factorization.

138986430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11441.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 138986430 is about 11789.2506123163. The cubic root of 138986430 is about 517.9932891206.

The spelling of 138986430 in words is "one hundred thirty-eight million, nine hundred eighty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 11383 12210 22766 34149 56915 68298 113830 125213 170745 250426 341490 375639 421171 626065 751278 842342 1252130 1263513 1878195 2105855 2527026 3756390 4211710 4632881 6317565 9265762 12635130 13898643 23164405 27797286 46328810 69493215 138986430