Search a number
-
+
138183008 = 2547791163
BaseRepresentation
bin10000011110010…
…00000101100000
3100122000102110012
420033020011200
5240333324013
621413424052
73265351625
oct1017100540
9318012405
10138183008
1171000a37
123a33b028
13228222c2
14144d034c
15c1e81a8
hex83c8160

138183008 has 48 divisors (see below), whose sum is σ = 281594880. Its totient is φ = 66708096.

The previous prime is 138183007. The next prime is 138183041. The reversal of 138183008 is 800381831.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138183007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118235 + ... + 119397.

It is an arithmetic number, because the mean of its divisors is an integer number (5866560).

Almost surely, 2138183008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138183008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140797440).

138183008 is an abundant number, since it is smaller than the sum of its proper divisors (143411872).

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

138183008 is a wasteful number, since it uses less digits than its factorization.

138183008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 138183008 is about 11755.1268814930. The cubic root of 138183008 is about 516.9932593928.

The spelling of 138183008 in words is "one hundred thirty-eight million, one hundred eighty-three thousand, eight".

Divisors: 1 2 4 8 16 32 47 79 94 158 188 316 376 632 752 1163 1264 1504 2326 2528 3713 4652 7426 9304 14852 18608 29704 37216 54661 59408 91877 109322 118816 183754 218644 367508 437288 735016 874576 1470032 1749152 2940064 4318219 8636438 17272876 34545752 69091504 138183008