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6104064 = 21031987
BaseRepresentation
bin10111010010010000000000
3102111010012110
4113102100000
53030312224
6334455320
7102612051
oct27222000
912433173
106104064
11349a08a
122064540
131359495
14b4c728
15808929
hex5d2400

6104064 has 44 divisors (see below), whose sum is σ = 16277744. Its totient is φ = 2033664.

The previous prime is 6104057. The next prime is 6104099. The reversal of 6104064 is 4604016.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6104064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2079 + ... + 4065.

Almost surely, 26104064 is an apocalyptic number.

6104064 is a gapful number since it is divisible by the number (64) 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 6104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138872).

6104064 is an abundant number, since it is smaller than the sum of its proper divisors (10173680).

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

6104064 is a wasteful number, since it uses less digits than its factorization.

6104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6104064 is about 2470.6404028106. The cubic root of 6104064 is about 182.7565816118.

The spelling of 6104064 in words is "six million, one hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1987 3072 3974 5961 7948 11922 15896 23844 31792 47688 63584 95376 127168 190752 254336 381504 508672 763008 1017344 1526016 2034688 3052032 6104064