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38370020 = 22513178681
BaseRepresentation
bin1001001001011…
…1101011100100
32200012101202212
42102113223210
534310320040
63450222552
7644065643
oct222275344
980171685
1038370020
111a727a67
1210a24a58
137c45970
14514b35a
15357dd65
hex2497ae4

38370020 has 48 divisors (see below), whose sum is σ = 91890288. Its totient is φ = 13332480.

The previous prime is 38369993. The next prime is 38370023. The reversal of 38370020 is 2007383.

38370020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 128164 + 38241856 = 358^2 + 6184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38370023) 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 15 ways as a sum of consecutive naturals, for example, 80 + ... + 8760.

It is an arithmetic number, because the mean of its divisors is an integer number (1914381).

Almost surely, 238370020 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 38370020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45945144).

38370020 is an abundant number, since it is smaller than the sum of its proper divisors (53520268).

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

38370020 is a wasteful number, since it uses less digits than its factorization.

38370020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 38370020 is about 6194.3538807530. The cubic root of 38370020 is about 337.2852442641.

The spelling of 38370020 in words is "thirty-eight million, three hundred seventy thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 8681 17362 34724 43405 86810 112853 147577 173620 225706 295154 451412 564265 590308 737885 1128530 1475770 1918501 2257060 2951540 3837002 7674004 9592505 19185010 38370020