Search a number
-
+
138623160 = 23351388861
BaseRepresentation
bin10000100001100…
…11100010111000
3100122211210020010
420100303202320
5240441420120
621431101520
73302164104
oct1020634270
9318753203
10138623160
11712816a5
123a5118a0
1322947750
14145a6904
15c2837e0
hex84338b8

138623160 has 64 divisors (see below), whose sum is σ = 447864480. Its totient is φ = 34122240.

The previous prime is 138623141. The next prime is 138623189. The reversal of 138623160 is 61326831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42871 + ... + 45990.

Almost surely, 2138623160 is an apocalyptic number.

138623160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138623160 is an abundant number, since it is smaller than the sum of its proper divisors (309241320).

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

138623160 is a wasteful number, since it uses less digits than its factorization.

138623160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88888 (or 88884 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 138623160 is about 11773.8337002015. The cubic root of 138623160 is about 517.5416008938.

Adding to 138623160 its reverse (61326831), we get a palindrome (199949991).

The spelling of 138623160 in words is "one hundred thirty-eight million, six hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 88861 177722 266583 355444 444305 533166 710888 888610 1066332 1155193 1332915 1777220 2132664 2310386 2665830 3465579 3554440 4620772 5331660 5775965 6931158 9241544 10663320 11551930 13862316 17327895 23103860 27724632 34655790 46207720 69311580 138623160