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138643160 = 23517316577
BaseRepresentation
bin10000100001110…
…00011011011000
3100122212210122212
420100320123120
5240443040120
621431334252
73302306315
oct1020703330
9318783585
10138643160
1171295727
123a521388
1322953896
14145add0c
15c2896c5
hex84386d8

138643160 has 64 divisors (see below), whose sum is σ = 341003520. Its totient is φ = 50503680.

The previous prime is 138643151. The next prime is 138643163. The reversal of 138643160 is 61346831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138643163) by changing a digit.

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, 17792 + ... + 24368.

It is an arithmetic number, because the mean of its divisors is an integer number (5328180).

Almost surely, 2138643160 is an apocalyptic number.

138643160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138643160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170501760).

138643160 is an abundant number, since it is smaller than the sum of its proper divisors (202360360).

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

138643160 is a wasteful number, since it uses less digits than its factorization.

138643160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 138643160 is about 11774.6830105952. The cubic root of 138643160 is about 517.5664893138.

Adding to 138643160 its reverse (61346831), we get a palindrome (199989991).

The spelling of 138643160 in words is "one hundred thirty-eight million, six hundred forty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 6577 10540 13154 21080 26308 32885 52616 65770 111809 131540 203887 223618 263080 407774 447236 559045 815548 894472 1019435 1118090 1631096 2038870 2236180 3466079 4077740 4472360 6932158 8155480 13864316 17330395 27728632 34660790 69321580 138643160