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38190000 = 243541967
BaseRepresentation
bin1001000110101…
…1101110110000
32122212020211110
42101223232300
534234040000
63442313320
7642416052
oct221535660
978766743
1038190000
111a614792
1210958840
137bb1a44
1451018d2
153545850
hex246bbb0

38190000 has 200 divisors, whose sum is σ = 131707840. Its totient is φ = 9504000.

The previous prime is 38189993. The next prime is 38190017. The reversal of 38190000 is 9183.

38190000 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 (200).

It is a super-2 number, since 2×381900002 = 2916952200000000, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 569967 + ... + 570033.

Almost surely, 238190000 is an apocalyptic number.

38190000 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 38190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65853920).

38190000 is an abundant number, since it is smaller than the sum of its proper divisors (93517840).

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

38190000 is a wasteful number, since it uses less digits than its factorization.

38190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 38190000 is about 6179.8058221922. The cubic root of 38190000 is about 336.7569386178.

Adding to 38190000 its reverse (9183), we get a palindrome (38199183).

The spelling of 38190000 in words is "thirty-eight million, one hundred ninety thousand".