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604968 = 233713277
BaseRepresentation
bin10010011101100101000
31010201212020
42103230220
5123324333
620544440
75066520
oct2235450
91121766
10604968
11383581
12252120
13182490
1411a680
15be3b3
hex93b28

604968 has 64 divisors (see below), whose sum is σ = 1868160. Its totient is φ = 158976.

The previous prime is 604957. The next prime is 604973. The reversal of 604968 is 869406.

It is a congruent number.

It is an unprimeable number.

604968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2046 + ... + 2322.

It is an arithmetic number, because the mean of its divisors is an integer number (29190).

2604968 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 604968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934080).

604968 is an abundant number, since it is smaller than the sum of its proper divisors (1263192).

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

604968 is a wasteful number, since it uses less digits than its factorization.

604968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 604968 is about 777.7968886541. The cubic root of 604968 is about 84.5754143918.

The spelling of 604968 in words is "six hundred four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 277 312 364 546 554 728 831 1092 1108 1662 1939 2184 2216 3324 3601 3878 5817 6648 7202 7756 10803 11634 14404 15512 21606 23268 25207 28808 43212 46536 50414 75621 86424 100828 151242 201656 302484 604968