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38007900 = 22335272011
BaseRepresentation
bin1001000011111…
…1010001011100
32122112000001000
42100333101130
534212223100
63434350300
7641030130
oct220772134
978460030
1038007900
111a4aa997
121088b390
137b49ba8
1450953c0
15350b900
hex243f45c

38007900 has 144 divisors (see below), whose sum is σ = 139713280. Its totient is φ = 8683200.

The previous prime is 38007899. The next prime is 38007901. The reversal of 38007900 is 970083.

It is a happy number.

38007900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38007899) and next prime (38007901).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38007901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17895 + ... + 19905.

Almost surely, 238007900 is an apocalyptic number.

38007900 is a gapful number since it is divisible by the number (30) 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 38007900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69856640).

38007900 is an abundant number, since it is smaller than the sum of its proper divisors (101705380).

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

38007900 is a wasteful number, since it uses less digits than its factorization.

38007900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 38007900 is about 6165.0547442825. The cubic root of 38007900 is about 336.2208369653.

Adding to 38007900 its reverse (970083), we get a palindrome (38977983).

The spelling of 38007900 in words is "thirty-eight million, seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2011 2100 2700 3150 3780 4022 4725 6033 6300 8044 9450 10055 12066 14077 18099 18900 20110 24132 28154 30165 36198 40220 42231 50275 54297 56308 60330 70385 72396 84462 90495 100550 108594 120660 126693 140770 150825 168924 180990 201100 211155 217188 253386 271485 281540 301650 351925 361980 380079 422310 452475 506772 542970 603300 633465 703850 760158 844620 904950 1055775 1085940 1266930 1357425 1407700 1520316 1809900 1900395 2111550 2533860 2714850 3167325 3800790 4223100 5429700 6334650 7601580 9501975 12669300 19003950 38007900