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138941008 = 2431373751
BaseRepresentation
bin10000100100000…
…01001001010000
3100200102221020021
420102001021100
5241032103013
621441553224
73304656553
oct1022011120
9320387207
10138941008
1171479488
123a645814
1322a2931b
141464a69a
15c2e7a8d
hex8481250

138941008 has 40 divisors (see below), whose sum is σ = 278998016. Its totient is φ = 66960000.

The previous prime is 138941003. The next prime is 138941009. The reversal of 138941008 is 800149831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138941003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184633 + ... + 185383.

Almost surely, 2138941008 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 138941008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139499008).

138941008 is an abundant number, since it is smaller than the sum of its proper divisors (140057008).

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

138941008 is a wasteful number, since it uses less digits than its factorization.

138941008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 138941008 is about 11787.3240389836. The cubic root of 138941008 is about 517.9368547030.

The spelling of 138941008 in words is "one hundred thirty-eight million, nine hundred forty-one thousand, eight".

Divisors: 1 2 4 8 16 31 62 124 248 373 496 746 751 1492 1502 2984 3004 5968 6008 11563 12016 23126 23281 46252 46562 92504 93124 185008 186248 280123 372496 560246 1120492 2240984 4481968 8683813 17367626 34735252 69470504 138941008