Search a number
-
+
38067420 = 22351737321
BaseRepresentation
bin1001000100110…
…1110011011100
32122122000200110
42101031303130
534221124140
63435530020
7641365506
oct221156334
978560613
1038067420
111a540686
12108b9910
137b6b001
1450acd76
15351e380
hex244dcdc

38067420 has 48 divisors (see below), whose sum is σ = 112861728. Its totient is φ = 9553920.

The previous prime is 38067391. The next prime is 38067443. The reversal of 38067420 is 2476083.

38067420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 17641 + ... + 19680.

It is an arithmetic number, because the mean of its divisors is an integer number (2351286).

Almost surely, 238067420 is an apocalyptic number.

38067420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38067420 is an abundant number, since it is smaller than the sum of its proper divisors (74794308).

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

38067420 is a wasteful number, since it uses less digits than its factorization.

38067420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37350 (or 37348 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 38067420 is about 6169.8800636641. The cubic root of 38067420 is about 336.3962516130.

The spelling of 38067420 in words is "thirty-eight million, sixty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 37321 74642 111963 149284 186605 223926 373210 447852 559815 634457 746420 1119630 1268914 1903371 2239260 2537828 3172285 3806742 6344570 7613484 9516855 12689140 19033710 38067420