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38017020 = 22351095813
BaseRepresentation
bin1001000100000…
…1011111111100
32122112110112210
42101001133330
534213021040
63434500420
7641065536
oct221013774
978473483
1038017020
111a506828
1210894710
137b510a2
145098856
15350e480
hex24417fc

38017020 has 48 divisors (see below), whose sum is σ = 107442720. Its totient is φ = 10043136.

The previous prime is 38017009. The next prime is 38017033. The reversal of 38017020 is 2071083.

38017020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3634 + ... + 9446.

It is an arithmetic number, because the mean of its divisors is an integer number (2238390).

Almost surely, 238017020 is an apocalyptic number.

38017020 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 38017020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53721360).

38017020 is an abundant number, since it is smaller than the sum of its proper divisors (69425700).

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

38017020 is a wasteful number, since it uses less digits than its factorization.

38017020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 38017020 is about 6165.7943527173. The cubic root of 38017020 is about 336.2477268909.

The spelling of 38017020 in words is "thirty-eight million, seventeen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 5813 6540 11626 17439 23252 29065 34878 58130 69756 87195 116260 174390 348780 633617 1267234 1900851 2534468 3168085 3801702 6336170 7603404 9504255 12672340 19008510 38017020