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6004368 = 243441113
BaseRepresentation
bin10110111001111010010000
3102022001110000
4112321322100
53014114433
6332410000
7102015306
oct26717220
912261400
106004368
113431197
122016900
131322ca6
14b24276
157d9113
hex5b9e90

6004368 has 100 divisors (see below), whose sum is σ = 17959788. Its totient is φ = 1935360.

The previous prime is 6004367. The next prime is 6004373. The reversal of 6004368 is 8634006.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 5817744 = 432^2 + 2412^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53080 + ... + 53192.

Almost surely, 26004368 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 6004368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979894).

6004368 is an abundant number, since it is smaller than the sum of its proper divisors (11955420).

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

6004368 is a wasteful number, since it uses less digits than its factorization.

6004368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6004368 is about 2450.3811948348. The cubic root of 6004368 is about 181.7561440468.

The spelling of 6004368 in words is "six million, four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 113 123 144 162 164 216 226 246 324 328 339 369 432 452 492 648 656 678 738 904 984 1017 1107 1296 1356 1476 1808 1968 2034 2214 2712 2952 3051 3321 4068 4428 4633 5424 5904 6102 6642 8136 8856 9153 9266 12204 13284 13899 16272 17712 18306 18532 24408 26568 27798 36612 37064 41697 48816 53136 55596 73224 74128 83394 111192 125091 146448 166788 222384 250182 333576 375273 500364 667152 750546 1000728 1501092 2001456 3002184 6004368