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5934240 = 2532513317
BaseRepresentation
bin10110101000110010100000
3102011111020200
4112220302200
53004343430
6331105200
7101303664
oct26506240
912144220
105934240
113393534
121ba2200
1312ca0b0
14b068a4
157c3460
hex5a8ca0

5934240 has 144 divisors (see below), whose sum is σ = 21877128. Its totient is φ = 1456128.

The previous prime is 5934239. The next prime is 5934281. The reversal of 5934240 is 424395.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 3825936 = 1452^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18562 + ... + 18878.

Almost surely, 25934240 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 5934240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938564).

5934240 is an abundant number, since it is smaller than the sum of its proper divisors (15942888).

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

5934240 is a wasteful number, since it uses less digits than its factorization.

5934240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5934240 is about 2436.0295564709. The cubic root of 5934240 is about 181.0457644013.

The spelling of 5934240 in words is "five million, nine hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 317 360 390 416 468 480 520 585 624 634 720 780 936 951 1040 1170 1248 1268 1440 1560 1585 1872 1902 2080 2340 2536 2853 3120 3170 3744 3804 4121 4680 4755 5072 5706 6240 6340 7608 8242 9360 9510 10144 11412 12363 12680 14265 15216 16484 18720 19020 20605 22824 24726 25360 28530 30432 32968 37089 38040 41210 45648 49452 50720 57060 61815 65936 74178 76080 82420 91296 98904 114120 123630 131872 148356 152160 164840 185445 197808 228240 247260 296712 329680 370890 395616 456480 494520 593424 659360 741780 989040 1186848 1483560 1978080 2967120 5934240