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38710980 = 22335731119
BaseRepresentation
bin1001001110101…
…0111011000100
32200211201111000
42103222323010
534402222410
63501413300
7650016000
oct223527304
980751430
1038710980
111a940150
1210b6a230
138034c09
1451d9700
1535e9dc0
hex24eaec4

38710980 has 384 divisors, whose sum is σ = 161280000. Its totient is φ = 7620480.

The previous prime is 38710979. The next prime is 38710981. The reversal of 38710980 is 8901783.

38710980 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 (38710979) and next prime (38710981).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38710981) 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 127 ways as a sum of consecutive naturals, for example, 2037411 + ... + 2037429.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 238710980 is an apocalyptic number.

38710980 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 38710980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640000).

38710980 is an abundant number, since it is smaller than the sum of its proper divisors (122569020).

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

38710980 is a wasteful number, since it uses less digits than its factorization.

38710980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 38710980 is about 6221.8148477755. The cubic root of 38710980 is about 338.2813501850.

The spelling of 38710980 in words is "thirty-eight million, seven hundred ten thousand, nine hundred eighty".