Search a number
-
+
138340752 = 24311223819
BaseRepresentation
bin10000011111011…
…10100110010000
3100122022102211120
420033232212100
5240403401002
621421042240
73266606544
oct1017564620
9318272746
10138340752
11710a9500
123a3b6380
1322879044
1414531a24
15c229cbc
hex83ee990

138340752 has 60 divisors (see below), whose sum is σ = 392839440. Its totient is φ = 41919680.

The previous prime is 138340739. The next prime is 138340801. The reversal of 138340752 is 257043831.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 11 ways as a sum of consecutive naturals, for example, 6102 + ... + 17717.

It is an arithmetic number, because the mean of its divisors is an integer number (6547324).

Almost surely, 2138340752 is an apocalyptic number.

138340752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138340752 is an abundant number, since it is smaller than the sum of its proper divisors (254498688).

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

138340752 is a wasteful number, since it uses less digits than its factorization.

138340752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23852 (or 23835 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 138340752 is about 11761.8345507833. The cubic root of 138340752 is about 517.1899106145.

The spelling of 138340752 in words is "one hundred thirty-eight million, three hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 23819 47638 71457 95276 142914 190552 262009 285828 381104 524018 571656 786027 1048036 1143312 1572054 2096072 2882099 3144108 4192144 5764198 6288216 8646297 11528396 12576432 17292594 23056792 34585188 46113584 69170376 138340752