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38198640 = 2435159161
BaseRepresentation
bin1001000110110…
…1110101110000
32122212200200110
42101231311300
534234324030
63442421320
7642453204
oct221556560
978780613
1038198640
111a620227
1210961840
137bb595c
145104b04
1535481b0
hex246dd70

38198640 has 40 divisors (see below), whose sum is σ = 118416528. Its totient is φ = 10186240.

The previous prime is 38198591. The next prime is 38198659. The reversal of 38198640 is 4689183.

38198640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 79341 + ... + 79820.

Almost surely, 238198640 is an apocalyptic number.

38198640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38198640 is an abundant number, since it is smaller than the sum of its proper divisors (80217888).

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

38198640 is a wasteful number, since it uses less digits than its factorization.

38198640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159177 (or 159171 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 38198640 is about 6180.5048337494. The cubic root of 38198640 is about 336.7823323558.

The spelling of 38198640 in words is "thirty-eight million, one hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 159161 318322 477483 636644 795805 954966 1273288 1591610 1909932 2387415 2546576 3183220 3819864 4774830 6366440 7639728 9549660 12732880 19099320 38198640