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6104016 = 2432192397
BaseRepresentation
bin10111010010001111010000
3102111010010200
4113102033100
53030312031
6334455200
7102611652
oct27221720
912433120
106104016
11349a046
122064500
131359459
14b4c6d2
158088e6
hex5d23d0

6104016 has 120 divisors (see below), whose sum is σ = 18957120. Its totient is φ = 1824768.

The previous prime is 6104009. The next prime is 6104023.

6104016 is a `hidden beast` number, since 610 + 40 + 16 = 666.

6104016 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6104009) and next prime (6104023).

It is a super-2 number, since 2×61040162 = 74518022656512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 6104016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62880 + ... + 62976.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

Almost surely, 26104016 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 6104016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478560).

6104016 is an abundant number, since it is smaller than the sum of its proper divisors (12853104).

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

6104016 is a wasteful number, since it uses less digits than its factorization.

6104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6104016 is about 2470.6306887109. The cubic root of 6104016 is about 182.7561025682.

The spelling of 6104016 in words is "six million, one hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 36 38 46 48 57 69 72 76 92 97 114 138 144 152 171 184 194 207 228 276 291 304 342 368 388 414 437 456 552 582 684 776 828 873 874 912 1104 1164 1311 1368 1552 1656 1746 1748 1843 2231 2328 2622 2736 3312 3492 3496 3686 3933 4462 4656 5244 5529 6693 6984 6992 7372 7866 8924 10488 11058 13386 13968 14744 15732 16587 17848 20079 20976 22116 26772 29488 31464 33174 35696 40158 42389 44232 53544 62928 66348 80316 84778 88464 107088 127167 132696 160632 169556 254334 265392 321264 339112 381501 508668 678224 763002 1017336 1526004 2034672 3052008 6104016