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138036024 = 23327273881
BaseRepresentation
bin10000011101001…
…00001100111000
3100121201221211100
420032210030320
5240314123044
621410331400
73264200250
oct1016441470
9317657740
10138036024
1170a10565
123a289b60
13227a0429
1414492960
15c1b9869
hex83a4338

138036024 has 48 divisors (see below), whose sum is σ = 427255920. Its totient is φ = 39438720.

The previous prime is 138036023. The next prime is 138036047. The reversal of 138036024 is 420630831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138036023) 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 11 ways as a sum of consecutive naturals, for example, 136437 + ... + 137444.

It is an arithmetic number, because the mean of its divisors is an integer number (8901165).

Almost surely, 2138036024 is an apocalyptic number.

138036024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138036024 is an abundant number, since it is smaller than the sum of its proper divisors (289219896).

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

138036024 is a wasteful number, since it uses less digits than its factorization.

138036024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273900 (or 273893 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 138036024 is about 11748.8733076836. The cubic root of 138036024 is about 516.8098873621.

Adding to 138036024 its reverse (420630831), we get a palindrome (558666855).

The spelling of 138036024 in words is "one hundred thirty-eight million, thirty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 273881 547762 821643 1095524 1643286 1917167 2191048 2464929 3286572 3834334 4929858 5751501 6573144 7668668 9859716 11503002 15337336 17254503 19719432 23006004 34509006 46012008 69018012 138036024